Robotics-at-Home-with-Raspberry-Pi-Pico/ch-13/2.2-moving-with-encoders/analyse_output-2022-28.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import json"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is not the little circles being plotted... What?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "poses_raw_data = \"\"\"\n",
    "Received data: {\"poses\": [[1311, 116], [591, 1478], [4, 472], [1143, 1469], [1167, 1015], [917, 40], [71, 1024], [169, 254], [36, 1093], [1431, 516], [951, 313], [694, 922], [139, 403], [1080, 1397], [278, 731], [68, 622], [363, 752], [1459, 1411], [1039, 441], [906, 562]]}\n",
    "Received data: {\"poses\": [[1311, 115], [591, 1477], [4, 471], [1142, 1468], [1166, 1015], [917, 39], [70, 1023], [168, 253], [35, 1093], [1431, 516], [950, 312], [694, 921], [139, 403], [1079, 1397], [277, 730], [68, 622], [363, 752], [1459, 1411], [1039, 440], [906, 561]]}\n",
    "Received data: {\"poses\": [[1357, 109], [591, 1431], [16, 427], [1107, 1439], [1143, 1055], [940, -1], [24, 1023], [150, 211], [-9, 1106], [1433, 562], [909, 291], [740, 919], [175, 431], [1071, 1442], [232, 722], [71, 668], [404, 773], [1492, 1443], [1084, 428], [938, 528]]}\n",
    "Received data: {\"poses\": [[1361, 110], [593, 1427], [19, 423], [1104, 1435], [1140, 1058], [943, -4], [20, 1021], [149, 206], [-14, 1106], [1432, 567], [906, 288], [745, 920], [178, 435], [1069, 1447], [227, 720], [70, 672], [407, 776], [1494, 1448], [1088, 429], [942, 526]]}\n",
    "Received data: {\"poses\": [[1361, 110], [593, 1427], [19, 423], [1104, 1435], [1140, 1058], [943, -4], [20, 1021], [149, 207], [-14, 1106], [1432, 566], [906, 288], [744, 920], [178, 435], [1070, 1446], [228, 721], [70, 672], [407, 776], [1494, 1447], [1088, 428], [942, 526]]}\n",
    "Received data: {\"poses\": [[1361, 108], [591, 1427], [17, 423], [1103, 1436], [1141, 1059], [942, -5], [20, 1023], [148, 207], [-13, 1107], [1433, 566], [905, 289], [744, 919], [179, 434], [1071, 1447], [227, 722], [71, 672], [408, 775], [1495, 1446], [1088, 427], [941, 525]]}\n",
    "Received data: {\"poses\": [[1361, 107], [590, 1426], [17, 422], [1102, 1436], [1142, 1060], [941, -6], [19, 1024], [147, 207], [-13, 1108], [1434, 567], [904, 290], [745, 918], [180, 433], [1071, 1447], [227, 722], [72, 673], [409, 774], [1496, 1446], [1088, 426], [941, 524]]}\n",
    "Received data: {\"poses\": [[1361, 108], [591, 1427], [17, 422], [1103, 1436], [1142, 1059], [941, -5], [20, 1023], [147, 207], [-13, 1108], [1434, 566], [905, 290], [744, 918], [179, 433], [1071, 1447], [227, 722], [72, 672], [408, 774], [1495, 1446], [1087, 427], [940, 524]]}\n",
    "Received data: {\"poses\": [[1304, 109], [583, 1482], [-5, 474], [1142, 1477], [1175, 1014], [908, 40], [75, 1031], [164, 261], [42, 1098], [1437, 510], [952, 321], [688, 915], [139, 394], [1087, 1393], [281, 738], [74, 616], [361, 743], [1460, 1402], [1032, 435], [897, 560]]}\n",
    "Received data: {\"poses\": [[1250, 109], [574, 1536], [-27, 524], [1178, 1518], [1209, 971], [874, 83], [129, 1040], [179, 313], [96, 1090], [1442, 456], [996, 352], [634, 910], [102, 355], [1104, 1341], [333, 755], [78, 562], [317, 712], [1428, 1358], [978, 441], [854, 593]]}\n",
    "Received data: {\"poses\": [[1187, 109], [565, 1599], [-52, 582], [1221, 1564], [1247, 921], [836, 133], [192, 1049], [197, 374], [158, 1079], [1447, 393], [1048, 388], [571, 905], [57, 309], [1124, 1281], [393, 775], [82, 499], [265, 676], [1389, 1308], [915, 449], [804, 633]]}\n",
    "Received data: {\"poses\": [[1122, 111], [556, 1663], [-77, 642], [1265, 1611], [1286, 869], [797, 185], [256, 1058], [216, 436], [222, 1068], [1452, 328], [1102, 424], [506, 900], [11, 264], [1142, 1219], [455, 793], [85, 434], [211, 640], [1349, 1257], [851, 459], [754, 674]]}\n",
    "Received data: {\"poses\": [[1116, 109], [554, 1669], [-81, 647], [1268, 1617], [1291, 865], [792, 189], [262, 1060], [216, 442], [229, 1068], [1454, 322], [1106, 429], [500, 898], [8, 258], [1146, 1213], [461, 797], [87, 428], [207, 635], [1346, 1251], [845, 458], [748, 676]]}\n",
    "Received data: {\"poses\": [[1116, 110], [554, 1668], [-81, 646], [1268, 1617], [1291, 865], [792, 189], [261, 1060], [216, 442], [228, 1068], [1453, 323], [1106, 429], [501, 899], [8, 259], [1145, 1214], [460, 796], [87, 428], [207, 635], [1346, 1252], [845, 458], [749, 676]]}\n",
    "Received data: {\"poses\": [[1116, 110], [555, 1668], [-80, 647], [1268, 1616], [1290, 865], [793, 189], [261, 1059], [217, 442], [228, 1067], [1453, 323], [1106, 428], [501, 899], [7, 259], [1145, 1214], [460, 796], [86, 428], [207, 636], [1346, 1252], [845, 459], [749, 677]]}\n",
    "Received data: {\"poses\": [[1116, 111], [555, 1669], [-80, 647], [1269, 1616], [1290, 864], [793, 190], [262, 1059], [218, 442], [228, 1067], [1452, 322], [1107, 428], [500, 900], [7, 259], [1144, 1213], [461, 795], [86, 428], [206, 636], [1345, 1252], [845, 460], [749, 678]]}\n",
    "Received data: {\"poses\": [[1116, 111], [555, 1669], [-80, 647], [1269, 1616], [1290, 864], [793, 190], [262, 1059], [218, 442], [228, 1067], [1452, 322], [1107, 428], [500, 900], [7, 259], [1144, 1213], [461, 795], [86, 428], [206, 636], [1345, 1252], [845, 460], [749, 678]]}\n",
    "Received data: {\"poses\": [[1114, 110], [554, 1671], [-82, 649], [1270, 1618], [1292, 863], [791, 191], [264, 1060], [217, 444], [231, 1067], [1453, 320], [1108, 430], [498, 899], [6, 257], [1146, 1211], [463, 797], [87, 426], [205, 634], [1345, 1250], [843, 459], [747, 678]]}\n",
    "Received data: {\"poses\": [[1114, 109], [553, 1671], [-82, 649], [1270, 1619], [1293, 863], [790, 191], [264, 1061], [217, 445], [231, 1068], [1454, 320], [1108, 431], [498, 898], [6, 256], [1146, 1211], [463, 797], [88, 425], [205, 633], [1345, 1249], [842, 458], [746, 678]]}\n",
    "Received data: {\"poses\": [[1117, 166], [610, 1676], [-29, 669], [1310, 1578], [1246, 831], [837, 223], [269, 1004], [270, 426], [219, 1012], [1397, 318], [1138, 382], [496, 955], [-32, 298], [1091, 1197], [477, 742], [31, 425], [175, 682], [1302, 1286], [853, 514], [784, 720]]}\n",
    "Received data: {\"poses\": [[1119, 222], [666, 1683], [23, 690], [1350, 1539], [1200, 798], [883, 256], [276, 948], [324, 408], [208, 957], [1341, 315], [1169, 335], [493, 1011], [-71, 339], [1037, 1181], [493, 688], [-26, 423], [144, 729], [1258, 1322], [861, 570], [820, 764]]}\n",
    "Received data: {\"poses\": [[1122, 290], [733, 1691], [86, 714], [1398, 1492], [1145, 759], [938, 295], [284, 881], [388, 386], [194, 891], [1273, 313], [1205, 278], [491, 1079], [-117, 388], [972, 1164], [510, 623], [-93, 422], [108, 786], [1206, 1365], [873, 636], [864, 815]]}\n",
    "Received data: {\"poses\": [[1126, 346], [789, 1696], [139, 734], [1437, 1452], [1099, 727], [984, 327], [289, 825], [441, 367], [182, 836], [1217, 312], [1234, 230], [490, 1135], [-155, 430], [917, 1150], [524, 568], [-149, 421], [79, 834], [1164, 1402], [883, 692], [902, 857]]}\n",
    "Received data: {\"poses\": [[1131, 413], [856, 1701], [202, 756], [1483, 1403], [1042, 690], [1041, 364], [294, 758], [504, 344], [166, 771], [1150, 311], [1268, 172], [489, 1202], [-200, 480], [852, 1134], [540, 503], [-217, 422], [45, 892], [1113, 1446], [897, 757], [947, 906]]}\n",
    "Received data: {\"poses\": [[1137, 469], [912, 1704], [256, 774], [1521, 1361], [995, 660], [1088, 394], [297, 702], [556, 323], [152, 716], [1093, 312], [1296, 123], [490, 1259], [-236, 523], [797, 1122], [552, 448], [-273, 424], [17, 941], [1072, 1485], [909, 813], [986, 947]]}\n",
    "Received data: {\"poses\": [[1144, 536], [980, 1707], [320, 794], [1566, 1311], [938, 625], [1145, 429], [300, 634], [618, 297], [134, 651], [1026, 313], [1328, 63], [491, 1326], [-279, 575], [731, 1109], [565, 382], [-340, 426], [-15, 1001], [1023, 1531], [925, 878], [1033, 995]]}\n",
    "Received data: {\"poses\": [[1151, 592], [1036, 1709], [374, 811], [1603, 1268], [889, 596], [1194, 458], [302, 578], [670, 275], [118, 597], [970, 315], [1354, 14], [493, 1382], [-315, 619], [676, 1098], [576, 327], [-397, 430], [-41, 1050], [982, 1570], [939, 933], [1073, 1035]]}\n",
    "Received data: {\"poses\": [[1161, 657], [1102, 1710], [437, 829], [1645, 1218], [832, 563], [1251, 491], [303, 512], [730, 248], [99, 534], [904, 319], [1384, -45], [497, 1448], [-355, 671], [611, 1087], [587, 262], [-462, 434], [-71, 1109], [936, 1616], [956, 996], [1121, 1080]]}\n",
    "Received data: {\"poses\": [[1169, 712], [1158, 1710], [491, 843], [1681, 1174], [783, 536], [1300, 518], [303, 456], [781, 225], [82, 481], [848, 323], [1409, -95], [501, 1504], [-389, 715], [555, 1078], [596, 206], [-518, 439], [-96, 1159], [897, 1657], [971, 1050], [1162, 1119]]}\n",
    "Received data: {\"poses\": [[1168, 719], [1164, 1712], [497, 847], [1686, 1170], [778, 531], [1305, 523], [305, 450], [788, 224], [82, 474], [842, 321], [1413, -100], [499, 1510], [-394, 719], [549, 1075], [599, 200], [-525, 438], [-100, 1164], [891, 1660], [971, 1057], [1165, 1125]]}\n",
    "Received data: {\"poses\": [[1169, 719], [1164, 1712], [497, 846], [1686, 1170], [779, 531], [1304, 523], [305, 450], [787, 224], [81, 475], [842, 322], [1413, -100], [500, 1510], [-394, 719], [550, 1075], [599, 201], [-524, 438], [-100, 1164], [891, 1660], [971, 1056], [1165, 1124]]}\n",
    "Received data: {\"poses\": [[1170, 719], [1164, 1711], [497, 845], [1685, 1169], [778, 533], [1305, 521], [304, 450], [787, 222], [80, 475], [842, 323], [1411, -101], [501, 1510], [-393, 720], [549, 1077], [597, 200], [-524, 439], [-98, 1165], [892, 1661], [973, 1056], [1166, 1123]]}\n",
    "Received data: {\"poses\": [[1170, 719], [1164, 1710], [497, 845], [1685, 1169], [778, 533], [1305, 521], [303, 450], [787, 222], [80, 475], [842, 323], [1411, -101], [501, 1510], [-393, 721], [549, 1077], [597, 200], [-524, 440], [-98, 1165], [892, 1661], [973, 1056], [1166, 1123]]}\n",
    "Received data: {\"poses\": [[1136, 673], [1114, 1737], [442, 858], [1674, 1225], [835, 534], [1248, 520], [330, 500], [753, 268], [121, 515], [890, 293], [1413, -44], [471, 1462], [-384, 664], [603, 1058], [616, 254], [-476, 409], [-100, 1108], [908, 1607], [933, 1015], [1111, 1108]]}\n",
    "Received data: {\"poses\": [[1103, 627], [1063, 1762], [386, 869], [1661, 1280], [891, 537], [1192, 517], [355, 551], [717, 312], [160, 555], [939, 265], [1413, 12], [443, 1413], [-373, 609], [657, 1042], [632, 308], [-428, 379], [-100, 1052], [926, 1553], [895, 973], [1057, 1092]]}\n",
    "Received data: {\"poses\": [[1064, 572], [1003, 1793], [320, 883], [1647, 1346], [959, 539], [1124, 515], [386, 611], [676, 365], [208, 603], [997, 230], [1415, 80], [408, 1355], [-362, 542], [721, 1021], [653, 372], [-371, 343], [-102, 984], [945, 1488], [849, 924], [992, 1073]]}\n",
    "Received data: {\"poses\": [[1030, 527], [953, 1819], [265, 895], [1636, 1402], [1015, 540], [1068, 514], [412, 661], [641, 410], [249, 642], [1045, 200], [1417, 137], [378, 1307], [-353, 486], [775, 1002], [672, 426], [-323, 313], [-104, 927], [961, 1434], [810, 883], [938, 1059]]}\n",
    "Received data: {\"poses\": [[988, 474], [894, 1852], [200, 911], [1624, 1468], [1083, 540], [1000, 514], [445, 720], [601, 464], [298, 688], [1102, 163], [1420, 204], [341, 1250], [-343, 419], [839, 979], [695, 490], [-267, 275], [-107, 860], [979, 1369], [762, 835], [872, 1042]]}\n",
    "Received data: {\"poses\": [[949, 424], [838, 1883], [138, 927], [1614, 1531], [1146, 540], [937, 514], [476, 776], [564, 516], [345, 732], [1155, 128], [1424, 268], [306, 1197], [-335, 356], [898, 957], [717, 549], [-215, 239], [-111, 796], [995, 1307], [717, 790], [810, 1027]]}\n",
    "Received data: {\"poses\": [[946, 417], [832, 1885], [131, 927], [1611, 1537], [1153, 541], [930, 513], [478, 782], [559, 521], [348, 737], [1162, 126], [1422, 274], [304, 1190], [-332, 350], [905, 957], [717, 556], [-208, 237], [-109, 790], [998, 1301], [713, 784], [804, 1024]]}\n",
    "Received data: {\"poses\": [[945, 419], [834, 1886], [133, 929], [1613, 1536], [1152, 540], [931, 514], [479, 780], [561, 521], [349, 735], [1160, 125], [1424, 273], [303, 1192], [-334, 351], [903, 955], [719, 554], [-210, 236], [-111, 791], [996, 1302], [713, 787], [805, 1026]]}\n",
    "Received data: {\"poses\": [[975, 379], [799, 1850], [108, 885], [1563, 1541], [1165, 588], [918, 466], [443, 815], [515, 503], [326, 779], [1197, 158], [1377, 289], [336, 1155], [-284, 344], [932, 996], [678, 583], [-172, 268], [-64, 775], [1046, 1301], [738, 743], [804, 976]]}\n",
    "Received data: {\"poses\": [[1016, 328], [755, 1802], [78, 827], [1498, 1545], [1180, 651], [903, 403], [395, 859], [454, 478], [293, 836], [1244, 203], [1314, 307], [381, 1108], [-219, 338], [968, 1051], [623, 619], [-124, 313], [-1, 757], [1111, 1303], [772, 688], [804, 911]]}\n",
    "Received data: {\"poses\": [[1051, 284], [716, 1760], [51, 777], [1441, 1549], [1194, 706], [889, 348], [353, 898], [402, 457], [266, 886], [1286, 242], [1260, 324], [420, 1066], [-163, 332], [1000, 1097], [577, 651], [-82, 351], [53, 740], [1168, 1304], [801, 639], [804, 854]]}\n",
    "Received data: {\"poses\": [[1090, 231], [670, 1713], [20, 720], [1376, 1555], [1211, 770], [872, 284], [306, 944], [341, 433], [235, 944], [1334, 286], [1197, 344], [464, 1018], [-98, 324], [1038, 1151], [523, 689], [-33, 394], [116, 720], [1233, 1304], [834, 582], [803, 788]]}\n",
    "Received data: {\"poses\": [[1124, 186], [630, 1673], [-9, 671], [1320, 1561], [1226, 824], [857, 230], [266, 984], [287, 414], [209, 994], [1377, 323], [1144, 362], [501, 975], [-42, 317], [1071, 1197], [477, 722], [11, 430], [169, 702], [1290, 1303], [861, 533], [801, 732]]}\n",
    "Received data: {\"poses\": [[1162, 132], [584, 1627], [-42, 614], [1254, 1568], [1245, 887], [838, 167], [220, 1030], [225, 392], [180, 1053], [1427, 366], [1082, 384], [544, 925], [23, 307], [1110, 1250], [424, 761], [61, 472], [231, 680], [1356, 1302], [893, 475], [798, 666]]}\n",
    "Received data: {\"poses\": [[1194, 85], [543, 1588], [-71, 566], [1198, 1575], [1262, 941], [821, 113], [181, 1071], [172, 374], [156, 1104], [1471, 402], [1029, 404], [580, 881], [79, 298], [1144, 1295], [379, 795], [106, 507], [284, 660], [1412, 1299], [919, 425], [795, 610]]}\n",
    "Received data: {\"poses\": [[1232, 28], [492, 1541], [-108, 507], [1130, 1585], [1284, 1007], [799, 47], [134, 1122], [106, 353], [127, 1167], [1524, 445], [965, 429], [623, 828], [147, 285], [1187, 1349], [325, 838], [160, 549], [348, 635], [1481, 1295], [950, 363], [790, 541]]}\n",
    "Received data: {\"poses\": [[1237, 24], [488, 1536], [-110, 501], [1123, 1584], [1284, 1013], [799, 41], [129, 1126], [101, 349], [122, 1172], [1528, 451], [958, 430], [629, 824], [154, 286], [1189, 1355], [319, 840], [164, 555], [355, 634], [1488, 1297], [955, 358], [791, 534]]}\n",
    "Received data: {\"poses\": [[1237, 24], [488, 1536], [-110, 502], [1124, 1585], [1284, 1013], [799, 41], [129, 1126], [101, 350], [123, 1172], [1528, 450], [958, 430], [628, 824], [153, 286], [1189, 1355], [319, 840], [164, 554], [355, 634], [1487, 1296], [954, 358], [791, 535]]}\n",
    "Received data: {\"poses\": [[1282, 38], [510, 1493], [-78, 466], [1104, 1541], [1245, 1040], [838, 14], [86, 1104], [102, 302], [75, 1164], [1510, 494], [929, 392], [672, 842], [174, 329], [1161, 1394], [281, 813], [146, 599], [384, 672], [1503, 1342], [1001, 367], [836, 518]]}\n",
    "Received data: {\"poses\": [[1344, 60], [541, 1436], [-33, 418], [1079, 1480], [1189, 1075], [894, -21], [29, 1073], [106, 236], [11, 1152], [1482, 554], [891, 338], [732, 870], [201, 388], [1121, 1446], [228, 772], [120, 659], [422, 726], [1523, 1404], [1065, 382], [898, 497]]}\n",
    "Received data: {\"poses\": [[1398, 79], [568, 1385], [5, 377], [1057, 1428], [1142, 1106], [941, -52], [-22, 1046], [109, 180], [-45, 1143], [1460, 606], [858, 293], [784, 892], [226, 440], [1088, 1491], [183, 739], [98, 711], [455, 771], [1540, 1458], [1121, 393], [952, 479]]}\n",
    "Received data: {\"poses\": [[1461, 99], [598, 1327], [49, 328], [1030, 1368], [1087, 1143], [996, -89], [-80, 1016], [111, 114], [-110, 1132], [1434, 666], [818, 240], [844, 918], [255, 499], [1049, 1544], [130, 700], [74, 772], [495, 824], [1562, 1520], [1185, 406], [1014, 456]]}\n",
    "Received data: {\"poses\": [[1515, 115], [622, 1276], [86, 285], [1006, 1317], [1041, 1176], [1042, -122], [-131, 992], [112, 57], [-166, 1125], [1413, 719], [783, 195], [897, 939], [281, 549], [1016, 1591], [83, 667], [53, 825], [530, 869], [1582, 1574], [1241, 415], [1066, 436]]}\n",
    "Received data: {\"poses\": [[1580, 134], [651, 1214], [130, 233], [976, 1256], [986, 1215], [1097, -161], [-193, 963], [112, -11], [-233, 1116], [1389, 782], [741, 143], [960, 963], [312, 609], [979, 1647], [27, 630], [30, 889], [572, 921], [1606, 1637], [1308, 426], [1129, 410]]}\n",
    "Received data: {\"poses\": [[1586, 138], [656, 1209], [136, 229], [975, 1249], [980, 1218], [1103, -164], [-198, 958], [114, -17], [-240, 1114], [1384, 788], [738, 136], [966, 968], [314, 616], [973, 1651], [23, 624], [26, 894], [575, 928], [1606, 1644], [1314, 429], [1136, 410]]}\n",
    "Received data: {\"poses\": [[1616, 175], [697, 1185], [182, 216], [982, 1202], [931, 1219], [1152, -165], [-222, 917], [141, -57], [-276, 1082], [1345, 815], [734, 89], [993, 1007], [308, 664], [929, 1669], [5, 580], [-13, 922], [579, 975], [1595, 1690], [1349, 462], [1183, 420]]}\n",
    "Received data: {\"poses\": [[1656, 227], [755, 1153], [246, 201], [994, 1137], [866, 1218], [1217, -164], [-254, 859], [180, -110], [-324, 1036], [1289, 850], [731, 23], [1028, 1063], [299, 729], [867, 1691], [-17, 518], [-68, 959], [582, 1041], [1578, 1754], [1395, 509], [1247, 436]]}\n",
    "Received data: {\"poses\": [[1692, 271], [804, 1125], [301, 187], [1003, 1081], [809, 1219], [1274, -165], [-282, 810], [213, -156], [-365, 998], [1242, 882], [728, -34], [1060, 1110], [291, 785], [813, 1711], [-37, 464], [-115, 991], [585, 1098], [1563, 1809], [1436, 549], [1302, 450]]}\n",
    "Received data: {\"poses\": [[1735, 324], [863, 1091], [366, 168], [1013, 1014], [741, 1221], [1342, -167], [-316, 751], [252, -212], [-416, 953], [1186, 920], [722, -101], [1098, 1166], [284, 852], [750, 1736], [-62, 401], [-170, 1030], [591, 1165], [1548, 1875], [1485, 595], [1368, 464]]}\n",
    "Received data: {\"poses\": [[1773, 368], [913, 1060], [423, 152], [1021, 956], [682, 1223], [1401, -169], [-347, 701], [284, -261], [-461, 915], [1138, 954], [717, -160], [1132, 1214], [278, 911], [696, 1758], [-84, 347], [-217, 1065], [596, 1224], [1535, 1932], [1528, 635], [1426, 476]]}\n",
    "Received data: {\"poses\": [[1817, 418], [968, 1025], [485, 132], [1028, 890], [617, 1227], [1466, -173], [-382, 646], [319, -316], [-512, 873], [1086, 993], [709, -225], [1171, 1266], [273, 976], [636, 1784], [-110, 287], [-269, 1105], [604, 1289], [1522, 1996], [1578, 679], [1490, 488]]}\n",
    "Received data: {\"poses\": [[1819, 424], [975, 1023], [492, 132], [1031, 884], [610, 1226], [1473, -172], [-384, 639], [324, -321], [-515, 868], [1079, 996], [710, -232], [1174, 1273], [270, 983], [629, 1785], [-111, 280], [-275, 1108], [603, 1296], [1519, 2002], [1581, 684], [1496, 491]]}\n",
    "Received data: {\"poses\": [[1826, 482], [1033, 1025], [548, 149], [1070, 840], [560, 1195], [1523, -141], [-382, 581], [379, -343], [-531, 811], [1020, 997], [738, -284], [1175, 1332], [233, 1028], [571, 1774], [-100, 222], [-334, 1110], [575, 1348], [1476, 2043], [1595, 742], [1538, 533]]}\n",
    "Received data: {\"poses\": [[1831, 541], [1092, 1030], [604, 169], [1110, 797], [511, 1163], [1572, -109], [-377, 522], [434, -364], [-545, 754], [962, 997], [768, -334], [1175, 1390], [195, 1073], [514, 1761], [-87, 165], [-393, 1111], [545, 1398], [1432, 2082], [1607, 799], [1578, 576]]}\n",
    "Received data: {\"poses\": [[1839, 612], [1163, 1033], [672, 190], [1158, 744], [450, 1126], [1633, -72], [-374, 451], [500, -391], [-564, 685], [890, 999], [802, -397], [1177, 1462], [149, 1127], [444, 1746], [-72, 95], [-464, 1114], [511, 1461], [1380, 2131], [1624, 869], [1627, 627]]}\n",
    "Received data: {\"poses\": [[1846, 670], [1222, 1035], [728, 207], [1196, 699], [400, 1096], [1683, -42], [-372, 392], [554, -415], [-581, 629], [831, 1001], [829, -449], [1179, 1521], [112, 1173], [387, 1735], [-61, 38], [-523, 1117], [484, 1513], [1338, 2172], [1638, 925], [1669, 668]]}\n",
    "Received data: {\"poses\": [[1857, 739], [1292, 1036], [795, 226], [1240, 646], [339, 1061], [1744, -7], [-371, 322], [617, -443], [-601, 562], [762, 1005], [861, -511], [1183, 1590], [69, 1228], [318, 1723], [-49, -31], [-593, 1123], [452, 1575], [1289, 2222], [1656, 993], [1720, 717]]}\n",
    "Received data: {\"poses\": [[1866, 797], [1350, 1035], [852, 241], [1277, 600], [288, 1033], [1795, 21], [-372, 264], [670, -468], [-620, 507], [704, 1009], [886, -564], [1187, 1648], [34, 1275], [260, 1714], [-40, -89], [-651, 1128], [427, 1628], [1249, 2264], [1673, 1049], [1763, 756]]}\n",
    "Received data: {\"poses\": [[1865, 803], [1357, 1037], [857, 245], [1283, 596], [283, 1028], [1800, 26], [-370, 257], [677, -469], [-620, 500], [697, 1008], [891, -569], [1186, 1655], [29, 1279], [254, 1711], [-37, -95], [-657, 1127], [422, 1633], [1243, 2267], [1673, 1056], [1766, 762]]}\n",
    "Received data: {\"poses\": [[1866, 802], [1356, 1036], [857, 244], [1281, 596], [283, 1029], [1800, 25], [-371, 258], [676, -470], [-620, 501], [698, 1009], [890, -569], [1187, 1654], [30, 1279], [255, 1712], [-38, -94], [-657, 1128], [423, 1633], [1244, 2267], [1673, 1055], [1766, 761]]}\n",
    "Received data: {\"poses\": [[1814, 827], [1372, 1092], [858, 301], [1334, 619], [296, 973], [1787, 81], [-315, 242], [714, -426], [-573, 469], [678, 955], [946, -559], [1133, 1674], [-24, 1258], [248, 1655], [19, -101], [-677, 1074], [367, 1623], [1193, 2240], [1625, 1085], [1740, 812]]}\n",
    "Received data: {\"poses\": [[1750, 855], [1389, 1159], [857, 371], [1398, 647], [314, 906], [1769, 148], [-248, 225], [758, -372], [-514, 431], [656, 889], [1015, -545], [1067, 1696], [-88, 1232], [241, 1586], [88, -108], [-700, 1008], [298, 1609], [1133, 2206], [1565, 1121], [1707, 874]]}\n",
    "Received data: {\"poses\": [[1696, 879], [1405, 1216], [858, 430], [1452, 671], [327, 848], [1756, 206], [-191, 209], [796, -328], [-465, 398], [636, 833], [1073, -534], [1011, 1716], [-143, 1211], [234, 1527], [147, -115], [-721, 953], [240, 1598], [1081, 2178], [1515, 1152], [1680, 926]]}\n",
    "Received data: {\"poses\": [[1635, 909], [1425, 1281], [860, 498], [1515, 696], [341, 782], [1742, 272], [-126, 189], [842, -277], [-409, 360], [612, 770], [1140, -524], [948, 1740], [-207, 1187], [225, 1460], [214, -124], [-747, 890], [173, 1588], [1020, 2147], [1457, 1189], [1650, 987]]}\n",
    "Received data: {\"poses\": [[1583, 936], [1443, 1337], [864, 557], [1570, 717], [353, 724], [1730, 330], [-70, 171], [882, -234], [-362, 325], [590, 715], [1198, -516], [893, 1762], [-263, 1168], [215, 1402], [272, -134], [-770, 836], [115, 1580], [967, 2122], [1409, 1222], [1625, 1040]]}\n",
    "Received data: {\"poses\": [[1523, 968], [1466, 1401], [869, 624], [1634, 740], [364, 657], [1719, 397], [-6, 148], [930, -186], [-308, 284], [563, 653], [1266, -508], [831, 1789], [-327, 1147], [203, 1335], [339, -146], [-798, 774], [47, 1572], [905, 2093], [1353, 1261], [1598, 1103]]}\n",
    "Received data: {\"poses\": [[1471, 997], [1487, 1456], [874, 683], [1690, 759], [373, 598], [1710, 456], [49, 127], [972, -144], [-261, 247], [538, 599], [1324, -502], [777, 1814], [-384, 1131], [191, 1277], [397, -158], [-823, 721], [-11, 1566], [851, 2070], [1306, 1296], [1575, 1157]]}\n",
    "Received data: {\"poses\": [[1413, 1032], [1512, 1520], [883, 751], [1755, 779], [381, 531], [1702, 523], [113, 102], [1021, -98], [-209, 203], [508, 538], [1392, -497], [716, 1844], [-450, 1113], [176, 1211], [463, -173], [-854, 660], [-79, 1561], [788, 2044], [1252, 1338], [1551, 1221]]}\n",
    "Received data: {\"poses\": [[1363, 1064], [1535, 1574], [891, 809], [1812, 795], [387, 472], [1696, 582], [167, 79], [1066, -58], [-165, 164], [481, 485], [1451, -494], [663, 1871], [-507, 1099], [161, 1153], [521, -188], [-882, 608], [-138, 1558], [733, 2023], [1206, 1375], [1531, 1276]]}\n",
    "Received data: {\"poses\": [[1306, 1102], [1564, 1636], [903, 877], [1878, 812], [392, 404], [1691, 650], [229, 50], [1118, -14], [-114, 118], [449, 425], [1520, -493], [603, 1903], [-574, 1084], [143, 1088], [586, -206], [-916, 548], [-207, 1557], [668, 2000], [1154, 1420], [1509, 1341]]}\n",
    "Received data: {\"poses\": [[1258, 1136], [1590, 1689], [914, 935], [1936, 825], [395, 345], [1688, 709], [282, 24], [1164, 23], [-72, 77], [419, 374], [1579, -493], [552, 1933], [-632, 1073], [126, 1031], [643, -223], [-946, 498], [-266, 1557], [612, 1982], [1110, 1459], [1492, 1398]]}\n",
    "Received data: {\"poses\": [[1203, 1176], [1621, 1750], [929, 1001], [2003, 839], [397, 277], [1686, 777], [343, -7], [1218, 65], [-24, 28], [383, 316], [1647, -495], [494, 1969], [-699, 1062], [104, 966], [708, -245], [-983, 440], [-334, 1559], [547, 1963], [1061, 1506], [1474, 1464]]}\n",
    "Received data: {\"poses\": [[1155, 1214], [1651, 1803], [943, 1061], [2063, 849], [397, 216], [1686, 838], [396, -37], [1267, 101], [18, -17], [350, 265], [1708, -498], [443, 2002], [-760, 1053], [83, 909], [765, -266], [-1017, 389], [-395, 1562], [488, 1947], [1018, 1550], [1459, 1523]]}\n",
    "Received data: {\"poses\": [[1100, 1258], [1686, 1864], [961, 1128], [2132, 860], [396, 146], [1687, 908], [457, -72], [1324, 141], [65, -69], [311, 206], [1778, -503], [384, 2041], [-829, 1045], [58, 844], [830, -291], [-1057, 332], [-465, 1567], [420, 1930], [969, 1600], [1443, 1591]]}\n",
    "Received data: {\"poses\": [[1055, 1296], [1716, 1915], [978, 1185], [2190, 869], [394, 87], [1689, 967], [508, -102], [1373, 174], [103, -113], [277, 158], [1837, -507], [336, 2075], [-888, 1038], [36, 789], [885, -313], [-1092, 284], [-524, 1571], [362, 1916], [929, 1643], [1431, 1649]]}\n",
    "Received data: {\"poses\": [[1004, 1341], [1752, 1972], [998, 1250], [2258, 877], [390, 18], [1693, 1036], [565, -138], [1431, 211], [147, -165], [237, 103], [1905, -515], [281, 2115], [-956, 1033], [9, 726], [948, -340], [-1133, 230], [-592, 1579], [295, 1903], [883, 1694], [1418, 1716]]}\n",
    "Received data: {\"poses\": [[960, 1381], [1785, 2021], [1017, 1306], [2317, 882], [385, -40], [1698, 1094], [614, -171], [1481, 241], [183, -212], [201, 56], [1963, -523], [234, 2151], [-1015, 1029], [-16, 672], [1002, -365], [-1170, 184], [-650, 1587], [237, 1892], [845, 1739], [1409, 1774]]}\n",
    "Received data: {\"poses\": [[910, 1430], [1826, 2079], [1041, 1372], [2387, 887], [377, -110], [1706, 1164], [672, -212], [1542, 276], [225, -268], [156, 2], [2032, -534], [180, 2196], [-1085, 1027], [-47, 610], [1064, -396], [-1216, 130], [-719, 1598], [168, 1882], [801, 1794], [1399, 1844]]}\n",
    "Received data: {\"poses\": [[869, 1472], [1861, 2126], [1063, 1427], [2446, 889], [369, -169], [1714, 1223], [719, -247], [1594, 304], [260, -316], [118, -43], [2090, -545], [135, 2234], [-1144, 1027], [-74, 557], [1117, -423], [-1255, 86], [-777, 1609], [109, 1874], [765, 1841], [1393, 1902]]}\n",
    "Received data: {\"poses\": [[821, 1523], [1904, 2181], [1091, 1491], [2516, 890], [358, -238], [1725, 1292], [774, -290], [1657, 336], [299, -375], [71, -95], [2159, -560], [83, 2281], [-1214, 1028], [-108, 496], [1178, -457], [-1303, 35], [-846, 1624], [40, 1867], [724, 1898], [1387, 1972]]}\n",
    "Received data: {\"poses\": [[782, 1568], [1942, 2227], [1115, 1545], [2575, 890], [348, -296], [1735, 1350], [820, -328], [1710, 361], [330, -425], [30, -138], [2216, -574], [40, 2322], [-1273, 1031], [-138, 445], [1229, -487], [-1344, -7], [-903, 1638], [-19, 1862], [691, 1946], [1383, 2031]]}\n",
    "Received data: {\"poses\": [[737, 1621], [1988, 2280], [1146, 1608], [2646, 887], [333, -365], [1750, 1419], [873, -374], [1774, 390], [367, -485], [-20, -187], [2284, -592], [-9, 2372], [-1343, 1036], [-175, 385], [1289, -524], [-1395, -56], [-971, 1656], [-90, 1858], [652, 2005], [1380, 2101]]}\n",
    "Received data: {\"poses\": [[698, 1669], [2029, 2325], [1174, 1663], [2707, 884], [319, -424], [1764, 1478], [918, -415], [1830, 414], [397, -538], [-64, -230], [2343, -609], [-52, 2416], [-1404, 1041], [-209, 334], [1340, -558], [-1439, -97], [-1030, 1673], [-151, 1857], [620, 2057], [1380, 2162]]}\n",
    "Received data: {\"poses\": [[656, 1725], [2078, 2376], [1207, 1724], [2776, 878], [301, -492], [1782, 1546], [969, -464], [1896, 439], [430, -599], [-116, -277], [2410, -630], [-99, 2468], [-1474, 1049], [-249, 277], [1397, -598], [-1492, -144], [-1097, 1694], [-221, 1856], [585, 2118], [1380, 2233]]}\n",
    "\"\"\""
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first term looks like the term above. Let's decode parts of it, and plot their path - we don't have the heading info here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "97"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poses_lines = poses_raw_data.split(\"\\n\")\n",
    "poses_lines = [line.replace(\"Received data: \", \"\") for line in poses_lines if line]\n",
    "len(poses_lines)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1311,  116])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poses_dicts = [json.loads(line) for line in poses_lines]\n",
    "poses_over_time = np.array([poses_dict[\"poses\"] for poses_dict in poses_dicts])\n",
    "# ThreeD array = time, pose number, [x, y]\n",
    "poses_over_time[0,0]"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets plot the first pose... We can compare with the arc above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.set_xlim(0, 2000)\n",
    "ax.set_ylim(0, 2000)\n",
    "# The scatter will be the first pose over time.\n",
    "ax.scatter(poses_over_time[:, 0, 0], poses_over_time[:, 0, 1])\n",
    "None"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That is a match... Lets try the next pose..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0EEwKPvcu/w3BcE8nSHVNGkkyMWL4vcFHmmO6u5tYtfrcpFxNvRN6FUVJuTspGE4aN25cnx1KfcVoN+zerieXy8W+ffsOx5SMYzjpVziXTlbEyoxAIIgmqTwaSHVNmqKiuYwb+4eoOjPhBG3a48b+wXDdGa3VF5vNRnd3d1Lz7J0MfCzmm5zpyKbUkk6Np1v7t6mqZHnclLZEu5m2bdsGcPRWlowm/Wbmw0VPCefSSYjozSQQCPRJqDCZBinq7aQoXXy+cjrd3c06IyQslhJmTP8ESYotnlLZagD8wuUnP/kJBw4c0GwEeSyxuN7JDVv2Ar3kaeA2MKd8HUMa9BNsj5pI2/xPf25WPL71Fxh/5eGfj+CIYfT+fez9tQkEgmOH8OJ63/4bzH04seNTVJOmpWVDDCED4Tbt3hyOVgPhzJs3j7S0NAYPHnxMhJNiMb/Qwc0DC6OCdhIqEw5UxBQycBSSghNtV5CTYAK74IRBhJkEAkFsgnk04L+5rH72iNekSdamncpk3t4ci6GkeCyud/KnA/VRvzkViU0Dh1Pc2hxX0MARSgoW7QoECSDEjEAgME5fatLs/Rwk2d/hOMG6NEbt13v3baajo4xTTx3C9u3bUxpOgtT1Tjoa+FSVeyqqtH9jgTozK4eO49SG6rhL9i6Xi7Vr1zJ16tTD8xoYdi6BSPoVQB/CTI888giTJ08mJyeHoqIiLr30Unbs2BExprOzk1tuuYX8/Hyys7P59re/TW1tZKv2/fv3M3/+fDIzMykqKuKOO+7A641sdLZixQomTpyIxWJh2LBhvPTSS8lOWyAQ9JVka9L84xp/PZok6tIEbdrx3FXt7S+wfcdlvPjij3nnnXcSm58BUtU76WiwxtlGtSdGgnOgzozjzLMMnW/p0qX85je/YevWrSmaYQDRrkCQBEn/NX7yySfccsstrFmzhuXLl9Pd3c2cOXNob28PjfnpT3/KO++8wz/+8Q8++eQTDh06xLe+9a3Qfp/Px/z58+nq6mLVqlW8/PLLvPTSS9x7772hMZWVlcyfP59zzz2XjRs3snDhQm644QaWLj26DeYEgpOa8Fyas+8wdozbGfk4gXyaSJt2JL0tDGZzB4NOXUJm5g7N8fGwWq3k5OREbDsaxe5SjdFu2Fn9Bxo+Z0dHB//4xz9YtmxZstOKJpF2BQvehYWbhZARpM7NVF9fT1FREZ988gkzZ86kpaWFwsJCXn/9dS6//HIAtm/fzujRo1m9ejVnnnkm77//PhdddBGHDh2iuNhfrfG5557jzjvvpL6+HrPZzJ133snixYvZsmVL6FpXXXUVTqfTcJM34WYSCA4jis+/ymI4jyacQK7Dws1xQwTl5eWsXv0HSvt9isUSu5WAqoLHk8n6dZeR6He2K6+8MtQC4Fh3JyXCyuZWvr1xd9xx/5wwhHUv/TXhPKPLL7+csWPHJju9Hr5eBP+6Mf64b/8Nxl3e9+sJjmmOuJuppaUFgLy8PAC+/PJLuru7mT17dmjMqFGjOOWUU1i9ejUAq1evZty4cSEhAzB37lxcLldo6XL16tUR5wiOCZ5DC4/Hg8vlivgnEAgOE8E8GiCxInsQUZem8rNQsb3eBe22bNnCokWLOHCgkHVrL2P3rkkxzypJkJHRgd1uvG9T+OpLsAXAse5OSoRgnZlY9LOkMy03J6rjthHee+89FEVJdnp+RLsCQZKkJAFYURQWLlzIjBkzQsq8pqYGs9mMw+GIGFtcXExNTU1oTLiQCe4P7os1xuVy4Xa7sVqtUfN55JFHuP/++1Px1AQCgRGCeTS93SfWPHA3xT/+0yf8/2z9KB/7S5ZsaYz4EiJF9BOS6e6O/rvXwmx26+47lloNHAlMksRlRQ7+eKBed8ylRQ5MkhTVcdsIHR0d7Nu3j8GDByc3QdGuQNAHUiJmbrnlFrZs2cLnn3+eitP1mbvuuovbb7899NjlcjFwoPE4sEAgSILw3k5Bx5Lig//9puZwBYl99KeNLLJpZxBVbHdlsmjVHnqv8PSOhnd1GRMz6eluQEFrEfpIda4+VvCpKv+uc8Yc81adk18N7RcSNKNGjWLt2rWGcxTb2tqSm5xoVyDoI30WM7feeivvvvsun376KQMGDAhtLykpoaurC6fTGbE6U1tbS0lJSWjMunXrIs4XdDuFj+ntgKqtrcVms2muygBYLBYsFovmPoFAcBgJr0kD/puUrV9UPk05w1jCObjoSbS10Uq3wY+klpYiPJ5MzOYO3SbQAEOHfcnAU7azq+IMGhtP8V/nOKwPkwriupmAQ55u1jjbmJHr/73IsszUqVP57LPPIto16JGdnZ3c5ES7AkEfSXpNVVVVbr31Vv7973/z0UcfRS0tTpo0ifT0dD788MPQth07drB//36mTZsGwLRp09i8eTN1dT1x7eXLl2Oz2UIfNNOmTYs4R3BM8BwCgeDYRUGicuI9bGYklQxEQaKcYSziIlxE3vhcZOPGirG8G5nduyYD0W4mLXdT2ZhPmH9RPxYsWMDChQtPOiEDxt1MvcfJssz8+fPjHmez2Rg0aFBSc6OtNv4YgHmPCCEj0CTplZlbbrmF119/nf/85z/k5OSEclzsdjtWqxW73c7111/P7bffTl5eHjabjR//+MdMmzaNM888E4A5c+ZQVlbGD37wAx5//HFqamq45557uOWWW0IrKz/60Y949tln+cUvfsF1113HRx99xKJFi1i8eHEKnr5AIEgFiqJEuX+2b98elnNxAdB79SW6qH4iNDaewrbybzB02PoId1P0So2/CrHH8wqnnno9knTi5sXEwmjXbK1xY8aMoaqqilWrVukeN3bs2ORyjhSfcTEj2hUIdEjami3prO2++OKLXHvttYC/aN7PfvYz/v73v+PxeJg7dy5//OMfQyEkgH379nHzzTezYsUKsrKyWLBgAY8++ihpaT1/UCtWrOCnP/0p5eXlDBgwgF//+tehaxhBWLMFgsOHVssAq9WK262ffJtaFC64MIO2tr/FHTnx9NfIzT3zCMzp2MOnqpyxuly3a7YElFrSWT+tDJPO5/vSpUtjOkkTrsVjuGWBcQu/4MTC6P1bdM0WCASG0Ft9SXXLAH1UJFTUsOh4MP8lL28XW8t/GvcMZWVPUlqinZB8MqDbNRu/mPnr2FOZX+jQPFZRFJ5++umY7iabzcbChQuNrdAk4l4CUeX3JMXo/Vv0ZhIIBBHEDxn5sdlsdHfHTihNnkCDyojHcDmLyaTT74DKzGDQnJ8hl5XR3GzMPlxR8SAmOYOiormpn/JxwPxCB38deyo/336AZq8vYp89LfaKx759++LatF0ulzF7diItC2z9/O4lIWQEMRBiRiA4CdESLLIsJxQyOjzFKFWsuEnDR2svp9M8PqGMXT1DOyT45wKQX8Exej4WSwkeTy2xbpDd3c1s3nIL48b+QVvQdLlh+T3QtAfyhsD5D4HZmA38eKK3kAFo8fq4Ycte3dUZo7ZrQ+OMupfmPgxTfyRCS4K4CDEjEJygJCJYbDYbY8eO1UzwPHK5L34u5kNGsTuqBo0cJVICqzdLfok0Yh4j7Jezue5ZQ9fYWfEghYWzkaSwm+Tfvws73ut5vPsjWP9XGHkhfPfvfX5exwLBztlaBNfCfl1RxbwCe1TejFHbtaFxRhN+s4uFkBEYQogZgeA4QE+YpEqwuFyumE6VVGO1WklLS6O1tTVifvO636PMvRtQGcxBA2cKtEN4chRFHY2MyzezfXg23eZYORsqHk81Tuf6nmTg3kImnB3v+fefAIImXq0ZlehaM0EGDRqEzWaLuSJntVqN2bOzCo1NWLQsEBhEiBmBIIXoiYt4+2MdF0uYbNmy5ZgVLLG4+OKLtZs5bh8WSAqVSKhpZUcjAEWNXfjkNspHx0/093gC9a263PpCJsiO92DHMuhy+W+wg6YflysGydaaAX+9mXnz5sVM+Ha73Wzfvj22o6n8bXj/F3FmIFoWCBJDiBmBIEXoiY5gtdlERUmw2Z/WzUNPmBxLggWi8216V9+NShTV6/GUABldxkRQe/sumhtX4Vj2O2MVbv5+Rc/Ptn7+5prHWVJqX2rNgL9ZcDzb/ZIlSxg1apS2o8mQg0m0LBAkjrBmCwQpoLy8POY31unTpyclMo5svZbk0A0ZzZunvfpixLar+PxJoq3V/i7KgZUXI6jAyqm5eMyyVgW9KCweHyN2tVPU2GX4GserXTherRmAvHQTm2eM1aw1U1lZycsvvxz3OgsWLIgWqooPnh4bX6Ta+gv3kiCEsGYLBEcIRVFYsmRJzDGxCo3F4lgXMhAjZBQQLUl1UQ7v8ZSWEfg2D0ZCTxIwYlc7m8ty/L0Nwm/KvR8DHrPM5rIcxpW3JiBoepKPGTX/uFlBMEkSDw3vz/WBWjNaNHX7WNLQknpHk1EH0zf/CEPPMXQdgSDIyVnXWyBIIUbqb5wIC6C9G7vabLZQxVdZlhk8eDDjxo1j8ODByZW11yMYerL1KmWfWaB7SFFjF+PKW7F0KfHPHxA3O4dmJZKlQyj5eO1zsPmfUPmZf/XhGGdegR1HjJoyQUeTT+M92ydHk1EHU0eDsXECQRhiZUYg6CNGv60eD0yfPl03fyfpkFEqKLvEvwKyb5X/pphdDAOnwu8mRHXkDlLU2EVhYxdOezpNjnT2DsrUDztJEp4ME057OrktCRYCXHp3z8/HQS7NGmcbTo06M0H66mjSbThp1JkkHEyCJBBiRiDoI0a/rR4rxBIsZWVlzJ49O7Uho1QRHnoKMu+xmO4nCcht6cZjNtbE0ug4XVzV/vkcw7k0h9vR1N3dHe1oUnz+f9ZccDfrHCkcTILkEWJGIOgjRr6tSpKUVKgp2QTgvgiWYMjouMCg+8li0OFkDh83YCo0VUJHPcZt4mG5NBabP2RyjFm5++poKisr48orr+Sdd97RfG+63W4WLVrU03TSUDNJ4WAS9A3hZhIIUsDhcjNdeeWVAAlbusvKyuLWvDmeUX0+2teto2PtOgAyp5xBVpEXqaNW0/1k1OFk9vgYGe5ssuaBu4mE69705hgKP6Wie7aiKDz11FMRDrbe2Gw2Fs4ZivzPBcR97YSDSaCD6JodhhAzgiPB4agzE1yqT6bY3omA6vPR8cWXeOvrSSssJPOMSbR++CHV996H4nRGjJUdDkofuB/bgE5N91NdvtnvcAJ9QRP4OOxxNgVETMzwiBGOLSt3X7pnQwIW7cyPGNyxSX+ANReueBlOPUusyAg0EWImDCFmBEeKw1EB+GRAT7TUPvwI3pqa0DjZ4YgSMb3p//RTmFzb8K54njS1gczCLqTAS1mXb2bnsCw8lhg3TlXF4lGYsa45IEECuRxn3gzO/aAq/p5NCRM4zzf/eEyEnxbXOzW7ZzvSTPx21MCYYmbz5s28+eabca/xbd5jHDtiD1rwbnQulEAQQNSZEQiOAvHyTfT2H1d5KinGtWyZYdEST8gAVP309tAKCxSQZvVRPLEF28BOihq7SPOqfDXBrn+CKGdTwIK97J6wMbJf1CRE4Dz/+82eTUc5/JRM92xIwKJNe/xBRi3bAkEMTp6vfgKB4Kii+ny0r11Hy7uLaV+7DtXnw7VsGVW3LYwQMmBMtOhfKHKx2euWqVqZi+tABgBdqXA2JSxkdAi6n8rfTs35DBKvezbo15qBnqT3WFjpZBDa14hAWLEFKUCszAgEgpRiNGSUVlyM4vFEiY/U4897qd1gQ05X6O5Mh9Hxj2rPNNFsT8fR0m2sd1NSBNxP7/4UvJ2QU3pEQk996Z4NRizaKm4sbGcoZezSGSOs2ILUIcSMQCBICC2xIpn8N99EQkbe2iMZXpDwutM4sKIAVVKRJ3ejOEBTpQRaHuwdlMXeQcn2bkoE1Z9D868b/Q91Qk8+xceGug3Ud9RTmFnIxKKJmJIUPX2pNRMkdtNJv4BcwjcYxW5kzTRjhBVbkDKEmBEIBJooXV00v/53ug4cwDxwILlXf5e2FSuiV1hKSii++y4Aqm5bGLXS0qeQ0WFAUiXs/0ij+UZvaGEkhMYqUXK9m/pAMPR0+Qv+RpvNe/kgTeHRlo3UdtSFhhVnFvPLKb9k9qDZCV+ir7VmwN/GI3YNJAkXNvbRn8EcjNyVmQ8XPXVMOLsEJwbCzSQQCKKofeIJml58CZSw3BBJ0g4JBWzOst1+zAmXWLhPU2i5wouSG7axt7gJbe/tcDpyfJBp5faiAv/aRpilXArM5MlznkxY0PS1ezb00dH0rb/A+CsTmrPg5MTo/VskAJ/gqIpK524nHRvr6NztRFVOeO0q6CO1TzxB099eiBQyoJ/boqqgqkdGyARurFJmptZESKSwnXWjTPE96eQ/lUbOhxmB8+tf15Nh4kC/jL6UzksYH/Bofm6UkAFQAzN5bN1j+BJscBnsnh3ruQS7Z+vRJ0dTTmn0NoGgD4gw0wmMe0sDznd242vpWRo32c04Lh6Kdax+x2HByYvS1UXTCy8e7WmEVoF659ukFRdTfPddbD31NB597HUm1O9igWkJRcUtKF0yh1blor+8onEZVcJSIeGzG2suWTEsm/0DrYc5h6aHDRkWatP0P6ZVVGo6athQt4HJJZMTOnewe7Ze08lg9+x5BXbN1Zn4bTxUbLT1cjSJpF/B4UGImRMU95YGGl/dFrXd19JF46vbyP/+aCFoBFE0vfb6EXAXhSFJmOx2sFjwhSUEB0VLzqxZkcnGE09DOriW9K1vYS3upqJ4IEPN9WGna6Z2gx2vO7GkUlOL8eDRkcyhqTcZex71HfXxB/WiL92zwYijSaKbtDBHk0j6FRw+hJg5AVEVFec7u2OOcb6zB8uoPLr2uVBau5BzzFgG25HkI50RIDiWcH/xxZG7WODbfskD90eLlhGnIL10PqxvJCszH67/CA6uht9PANchzgD+zwxtqiXilLaBneT076Sj3oy304TJ4uPQmlx8nTKxVmvMuyTkZvQdTr3nrarsGJyN+Ss36RZfRJXhVFLoMxY+KswsTPjcqXA0hZpOvvUm7q7oubrJYBEXcSXvUmZzi/5LgsOGEDMnIJ7KlojQkha+Fg81j6xFae/5oBIhKIGsmYtigMAKi8/pjE4UjhMyss2ZA0DW1Cn+HY8MhPfDQhct7fDkMM3LZkue6KnIkFXc8/4vmdRC1Uqt8FPP45gOJ53n25UpsbfejqVCjqgynEpO6/SQ6/PRLGs3yJSQKM4sZmLRxITPnQpHE8CoEcN5v6sVsBL9wgUs2tJ5jLr1QWRzRsLzFAiMIMTMCYjSamzpO1zIQE8IKu/qUchZ6WLF5iTEduk3cb3zTmIHha2wAJrF8TRDRmH1aUI8MhA8ejkYyWEb2AkzosNPJouCz9Pz2LpRhr+kRTucYlA/OJcBFS2hKsOesa2Yc3ykZfR9tUbF/wE9pcPNxE4Pg7xe9qWl8ds8B10mU8jNdOeUO5OqN3OmI5tSS3rc7tlnOmIn+u5b/z6txBLBEi41i31fLmPwNLEqIzg8CDFzAiLnmPt0fNPft0eYQsJXbFRFxVPZIoTOCUr2mWeC2QxdxnNBeq+wxBItodUXLVz1KRcyQXqHn9IyfFjzu9i9uBivuycEZd0ok7EpnfZzfLiuiN+y4OBpxdBmov/qRiQVGrb0WEf7uloT6NfNEw1NofWOGXj4bls7H1kzeHTIeO6ccmdSdWagx9EU7J7dGxW4tMiha80O0tZcF3N/ouMEgmQQYuYExDLYjslujhtq0qXX17Tgik32zP64N9ULd9QJTOuHH8YVMv2ffgpTbp7uCotkMoVEi+JVaF11CF9TJ6a8DLKn9UNO01mu+Nt5KXseWvQOPwEUT4wOQUmqRNYKE22zFXwOzehOsEgwp5y6BU6F2vlg/0ca1o09g4OrNcxo7pOg0eI8dyfndOdhSlLIBJlf6ODmgYX88YB2AvGfDtQzyZ4Vs4N2tqMAehfF0xqXW5TkLAWC+AgxcwIiyRKOi4dqupn6Qtun0U3jRGjqxEH1+ah9+JGYY0wOBznnnx8dHoKoVTv39kbaPz8UIY5d71WSfVZ/HPOHRJ+8o7GvT8EwQemiF4KSVDi0eQzFZ28NCZfQsRoxGcWBP9/mL2n+cJX/LADUfJFLTv/qlCUIB1ds5J1LoMsNZmvS5/KpKv+uc8YcE8ueTfnbDFp1FzYuxEU2OhUHAWjPOTm7wguODELMnKBYxxaQ//3RUXVm5Kx0lHZjNTUSIVZoSnB80PHFl1Hdq3vjczrp+OLLqHCRVk0jTVRo+6wKb6ObgmvGRO7LzPcn+6YIRQ278Uu9tkvQZXZg7nL2hKA6+uEd/l26qhto+L/l1DYPpqm8gKHD1mOxdEScO+q+HrhQy+VeMjalI6k9A3weifbTniA7sxK+XuTvwxR6zgWRjw0SOvvye1DnPU7zRx9Tf++9KB0dmPLzGfTG/2EpjO9w6lPDyfK3YdE1yKjMZQX/4CK0s6f9jxcvfo+ysjHIsqjVKkg9QsycwFjHFpBRlh/xbdk8yEbtE+uTD0HpoROaCtazEbk2xz7e+ni1SiRMBcNxlzdjKnCGfod6NY1i0VneRPvGOrJOCws9XP+RrmspUYKFrv/svYhL0lbRj6bQvhryeaDrByzvPIO/z/ExpdCLlF1MVli3asu0JeS89R+qGk+hsXEAdnsdDkc1pwzaohl2AkACJQ+6hqlYKiIHdex3k73wEZjzEOxbBW21kF0MA6fC7yb4+zElUVu4e+c6dv1sbMQ236FD7Dl7JnJONiPXr495fNL2bMUHS+4kOGcrHuJZwNxuN3v37mXIEI1VOYGgjwgxc4IjyRIZQx0R2w5HCEoP5zt7UBWVlsV7NHNteostIXKOHmmhb/J+0SJZ7KieFnwNFaSVnoZl/HeQrXl07oDOHZsx2c3Y5w+hZfGepK7nfGsXmeMLe37ftkIw26Cr70nANeRzf/cPWKpM4XHfVUyRt1OEkzocrFNGoSAjAbetzeTzO8/D1Os9Z5s7j++fdTaPPfEEINPSUoLZHKupYg/1k7Pov6sjYnUmhGyCwWdHbpv3mL+xZGgdyTit63cBDs19SmsbOyZPjilokrZn71sFrkOhh5UMMHSeyspKIWYEhwUhZk5C9EJQSXyWxsXX4qHp9e0a2/0rN3JmGkqHdq0bsZpz+NB6bTPPmIR59LmknzIX2ZoXGqt42pDMWVHn8LV0af5uDc+h04ensiVSbN99AB4sBl+CCbO2/jBxAeQPZV19Gj9dk0lVIHyiILNGKYu+PlDd0sm6yiamDc2P2m/NyqJfv34cOuS/aXd1GctNkc9qoXZMMCHYH1KRbTZUn08z14iyS1Avf4mu//wYS3ePkAv+KepmoahQuym6Mm84Smsbnvp63ZBT0vbsttqocUaQ4jijBIJkEWLmJEUrBKW0d/fp5pQM4UIGjDmnxGqOcbRES2d5o2bPLuuEQiwjr4pKcA0KmcNxI/K5eoU7y98Gcya4DYqZKTfB6Ev8vX4CIaIpwKfnqDy1fAfPfhy7EjZAXav+tW666Sb+/Oc/U11dTUtLER5PJmZzh36oKUDvhOD6xx+n+ZVXIizsQVzLlnHolw+iurPILEwnLcOHt9OEY0Qrtv5dqFJ0qT+A1ioL+OLXl9l76WWM+PQTTSGVtD07K1IcDeIAcGbcuQwaNCjuGIEgGYSYOYnRCkFJsqRxo7NgnVCg6WY6XMRyTiW7mnO8r/TozV9vu1ZSbu/XLoivpYu2Tw8GnDuRr8nh/Dbd8u5u5HTZnygeSChNaHlw9CXRYRvAJEvMGFZoSMw0tHrwKWpUqCnInDlzePnllwGZ3bsmM7rskyiHUxQaCcHe2lqqblsIzzwdEjSuZcuo+sltgbRZiY66nvYMslnB1r9Lu3Ax4NprrFqz0tjIrlmzNYUUJGHPLn8b3v9FxBg3GYAC6Cf3Wq1WBg8WjibB4UFS1SPZVe7o4HK5sNvttLS0YLPZ4h9wkpPIzfFwhKaSJdZqDhCzg3iiQiFIMsclc4xeB3TrhELN52ydUHhExWdfyb96JNYPvhGRhxEXW39YuFm3aaFPUTnrsY+oaemM+xYttWdw38VlzBtbGrVv8+bNvPnmmz1zzd+v6XDSQ3m1hAGrAgnIkkRacTHDPvwAgIpzz8NXp1FMTlIZdnEtaVZFt86Nt0Nm17vFoJWbo0P/3z0TVdTQMmkik9ft0HU1BUNN66eVYdr2TpTgLGcYi7gobLQ2V155JWVl0eE+gSAWRu/fQswIEqL3DfdohKZSjZ4I0hMKQQGUqMCIJariHXOkEraPFqYsKPFegiTFr7ob4sr/jdu0cMmWam5+dQMQW3MHb8F/+v7EKEFTWVkZWJkJR2HQoE2cMmhL3GlWHRxB6QpXoEqw/0qnBM63f8ECzWMyizwMOi9+3Z19H+VHrObEQ8rMxJSTgzesQ/nmqTP4ybW3xj32zQmDmfHSmRGCU0Hiaa6PUWPGzxVXXMGYMWN09+uhKD6qtm2lzdlMtiOX/qPHIIuO2ycVRu/fIswkSIhEQlP2+YOjXEzHInohrVihruyZ/ZM6Tot4x8iZx/afqd7v2mS3kDE2n/Z1NdAdW6T42sGTPoYM02ZjFz3nbkPdl+eNLeVP35/I/e+UU92inxsTjOTc/04555eVRIScBg0ahM1mw+UKd1nJOJ2lhsRM/wE74fvhVYJl2levxhzD1ZOWYaxbttFxQdSODrwdkStKdYqx77P7V3/I2M3NpGWYQ32n9tEfF7GTkAEyMxJvMFmxdhUfvfQ8bU09dXiy8wo479qbGD51esLnE5zYHNufkoLjAq1k4mCIRJKlE3JVoe2zIxfC0cpxOdIEF3C18mccFw/BOrYA69gCzfeAuX82zYt2xr2GgsHujjn9YObPDc993thSzi8r4aWVlTy4WP+9qOdukmWZefPmsWjRoojx8RKCe+fV+Bw9ScGNzz2HnK3fwNHbaWz1wei4WOQ7m40NfO5VDlX4f0fBvlP1mQ6INoJFUfHLX5J/442aOTua49eu4u0nH47a3tbUwNtPPswlt98tBI0gAlGKUZASgis2macVkTHUEcr1CNrATfbI5pfH+mpDXE7A4KyqqqF/vbcDqN7Ib/QmuyVUFBH03wMmu7EwiIzBm+q4y3XzZPQwyRIFOcbm8f6WalbvbsQXtmJRVlbG5Zdf3kvM+ROCIbrFgVaCsCT53zZN31FRJRWlrU33bdRRb6a7Q9ZsnRA8f3e7TEd935rKAozbtZ3C5kZQdVbPVJXCpgbG7eoJJwf7Trk3Gfs9WGprqfrJbbiWLYs7VlF8fPTS8zHHfPzy8yhKYqtSghMbIWYEhx3r2AJK7pxCwY3jyLtqJAU3jqP0njM1RY7JbiF7Zv+jNNOTG0mCroqlqJ2RokJ1N9O5/s/Y58gRv8OSOycbalcRbHyqj4qME7NkcAVv1e/9jpoEKcoxFup4ZfU+vvuXNZz12Ecs2VId2p6VlRUl9BobT2Fb+Tfo6op0Fuk5nSQJJLuPqmn+5QzdLBNVomWfdl2b4BRqv7InlPyrh0lVuXXRy/7ZaAkaScJjtrBywhnhGwHwmM2gxAghqirW9nYK6v2houpf3oXqiy1CqrZtjQgtadHa2EDVtq0xxwhOLo7zr8eC4wWtXJtY4SnLKTbDtmJB4vR+LSWLQsdnz+M9tIGu8n9HVQDOu/6H2OcaCxH0Jn7jUwkFB7Vdf8GR/jxW0+r4J13ySxg1P6EVmimD8yi1ZxhyNwHUtHRy86sbQknBbW1tmuMaw1oe5Bfsp3//HXHPXX9WJvkNjWRUoFkpOGeAm/xR+n2qGrdn0Xow+QaTvZm5cT33P/8Uv/3ejbiyo3NgXFlZ3HfTT7n/+aeYudFfUfjggAGsmjFD/6QB1TXxq6+QAz8rHR20rVlDTozj2gyGvYyOE5wcJL0y8+mnn3LxxRfTr18/JEnirbfeith/7bXXIklSxL958+ZFjGlqauJ73/seNpsNh8PB9ddfH/WB8fXXX3P22WeTkZHBwIEDefzxx5OdsuAYJFZ46phezTmC5WmSDcllz+yv+Vrlf380pfec2fPaXj+Gjk/ux3toQ2CUiq9hJ96q9fgadoIErsXvxf1GHYtQuDFDPxncRz6N3Xfj9k2LczYVXFX+kvoJYJIl7rvYbw028usLCp773ynHp6hkx8hxCbY8aGw4xdBcik/dQ/PCbmof6sZ9Wq+VDUmleGKL/0edidpPcftbe/emDzWBZmz6AnN3l3ZbcEkGVJ694hp8koQiSWyYODH2NVWVaStXMeBgZH6Z663/xJxHtsNY7pTRcYKTg6RXZtrb25kwYQLXXXcd3/rWtzTHzJs3jxdffDH02GKJjFl/73vfo7q6muXLl9Pd3c0Pf/hDbrrpJl5//XXAb8maM2cOs2fP5rnnnmPz5s1cd911OBwObrrppmSnLjhOSMVqjsluwXGx3zWSymKA2Wdru5kOB7nfGg7ozz/a0m0JJeXa5w3WrV0TfG3b167DW9MTTolCVfHW1Gh2y04E69gCLHuXUPP5TBTsREsKGVBwdt9Ehrw2vk27V0l9Ixh1NwUJTwqeOljL1RRJoknBvSsFA2QWdpGeqf/cJQnSsxQyC7uibNlpxcXY5l9I0wsvaouSGGweNoqG3BjZvJJMfV4Bm4eNol9LA+7MOEX7ZJmMLk/UZqUjdn2e/qPHkJ1XEDPUlJNfQP/RiVu9BScuSYuZCy64gAsuuCDmGIvFQklJiea+bdu2sWTJEtavX88ZZ/hjsb///e+58MIL+c1vfkO/fv147bXX6Orq4oUXXsBsNjNmzBg2btzIk08+KcTMSYyWyIHYQgdIWATFEwrJHAfJiZJY848lWPReq3Did8tObFwsutQxKDqNEf3I+CjEoxiwaWcXJzWHoLtpXWUT72+p5pXV++IeU9faqetqCsdqzULxXQG8HCVcNKsGS/7tTd9R6bdJRVKlmCko4QRt2XJuLvZLLibnvFlknjEJyWTCOmECtf/zcEQ9mXg02o2tdDTac8n16IfAwnFnRIfCrGecoTGyB1k2cc6CG3j3qUd1x5y74CZRb0YQwWHNmVmxYgVFRUXk5uZy3nnn8dBDD5Gf71f+q1evxuFwhIQMwOzZs5FlmbVr13LZZZexevVqZs6cidncs1Q+d+5cHnvsMZqbm8nN1f7j83g8eDw93whifZMSnFjEunknI4JiCYVkj0vmmFjzNyJYYpGm04Qw2XGxUPrNAeK3GDBk0179B81WBkYwyVLIfm1EzFTUtrJ6dyNTRo3myiuv5J133sHtju6i7Xa7+eILKO13PgMHroyoEhwrKRi7j6pphfRf1YSnyYyqBCI7Mcg4ay6OuTeEBEw4tjlzyJk1i4bnnqPh98/GfX4A+S3GclDyW5qxdhrrIB41TpLI+97VMY+pWLuKFS//VXNfTn4B5y4QdWYE0Rw2MTNv3jy+9a1vMXjwYHbv3s3dd9/NBRdcwOrVqzGZTNTU1FBUVBQ5mbQ08vLyqKmpAaCmpiaql0dxcXFon56YeeSRR7j//vsPw7MSnKgkKxSSOe5wiZJkyTxjEmklJf5v8Zr5Ev4S/JlnTOrztWSHsX5CMs74g3a+D0t/BXP/J+n5GE0Kfvbj3Tz78W5K7Rnce9Eo0tPTNcVMEGfzYKoPFSWdFOw6mIFtYGfMVgYZ3/5hzLCfZDJReMstWIYPp/bhR/AGPlf1CFq06x252kpKVbG1tzJu13ZMVh9Wnxu3nKGt0lQVa0dHyMUUJPu8c5HN+s42vfoyQc75wQ1CyAg0OWzW7KuuuopLLrmEcePGcemll/Luu++yfv16VqxYcbguGeKuu+6ipaUl9O/AgQOH/ZoCwfGKZDJRfPdd+jkWqkrx3Xdpdl1OFMtgO6ZMH/6mhPo0df/UQCIwsPqP4E2+wnSiScE1LZ3c//dP4672ut1uzjnnPFR1RFJJwfslf7KxVv0agPrKQWRONpa/ZJszh2EffsApL7+M43vf0x0XadHWfi+4snL4439dx+KLL8JtsuoKGYh0MQVp++hj3VozRurLrPjfv4r6MgJNjlidmSFDhlBQUMCuXbsAKCkpoa5XgzWv10tTU1Moz6akpITaXjHf4GO9XBzw5+rYbLaIfwKB4OgjbX8HR/dj+KWDvqBRDDubFFj/lz7NKZgUXGKPX4dGBTLRbsjYm/z8fBYuXMg3v/lzVNURswBeOD4H1F4N+6Qs3XM7vv3thMSlZDKRNXVK3Aq8MzZ9ga1d24IeFC5LR07HJek7uzI9HmasXBnlYgpS+/Ajms44UV9G0BeOmJg5ePAgjY2NlJb6m7hNmzYNp9PJl19+GRrz0UcfoSgKU6dODY359NNP6e7u+fBYvnw5I0eO1A0xCQSCxFB9PmoffkR/gCTp3oASQvHBkjuxmlaRn/4wMk0xBvutwM7um1DVOB9TzXv7Ni/8gubzO8/j7zeeya3nDos5toN0Q+fMzs5GlmWGDBlGSfFtgPFKwQC7JmTjqsqI3idBZvXf/a9nggRDinoJPJuHjfLXmYmR4NOekUm1XTt/ypqezoVvv6MrZMKdcb0R9WUEfSFpMdPW1sbGjRvZuHEj4O8su3HjRvbv309bWxt33HEHa9asYe/evXz44Yd885vfZNiwYcydOxeA0aNHM2/ePG688UbWrVvHypUrufXWW7nqqqvo168fAFdffTVms5nrr7+erVu38sYbb/DMM89w++239/2ZCwQCADq++DJ2PkWMG1BC7FsV6rhsNa0mN+3JOAf0OJtikntq3+YVIJgUPLw4Vj0ZqFVyaFfTYzqfrVYrgwYNCj0urshh98Yz6fIkVil4R2E2Tbb0iHweCZKqswNhIUWdixt1NHWYtVtDuLu7aSyI36xJyxkn6ssI+kLSYuaLL77g9NNP5/TTTwfg9ttv5/TTT+fee+/FZDLx9ddfc8kllzBixAiuv/56Jk2axGeffRZRa+a1115j1KhRzJo1iwsvvJCzzjqL55/viZna7XaWLVtGZWUlkyZN4mc/+xn33nuvsGULBCnkiFmzWyNr2aiSw9BhcZ1Nk29MckLaxGt7oCKxttufB6MnaNxuN9u3+3sZuZYto/6uuxnyfi3r1l7K1xtnU1U10tBcWs+Hr06zs3JqLnX5vRJnk6izA/4cmv7PPE1acbS13aijKVOjfkwQLTt2b7Sccf1HjyFDo/pwOKK+jECPpN1M55xzTlSfknCWLl0a9xx5eXmhAnl6jB8/ns8++yzh+QkEAmMcEWt2+duw5K6ITUYbS8Yd19kG2XnJziwKIw6nA0ouHkxY0A/1LFmyhJHDh1P7P353zoCDVcxYuZoNEyfSKEmGHE5BPGYTm8tyGFfeSlFjIOE5yTo70GPd7vjiS1zLluF87TXA72hytLlwZumEmlSVLI+b0hb93JbszEBisM79Ia2kRNMZt3v9WjrbWmPOW9SXEeghGk0KBCc5vuYmkGN8FEiS7g3IEOVvw6JroCPyBmiRt2KiHv1EYIMNKF++MLl56WDE4VQst5Ih+WJ2D3C5XOxc/gHe2trQeQYcrOKid95l8IoqPJ5M40V6Jf+K0NahdlQksPWHQX2zKGslBW8ZP44pewOvt46Vavruzbo3DpvNxtibbw5cQPvFUTo7af3ww8htBpxMGdk5DJ08NeYYwcmLEDMCwUmMa9kyqn56e+zOx5C8NTuQ9IvGGockKTjSn0ff2dTTgDKmq6ktdv2UZIjncLIadDS5NEJzsqoyfOduDpSPB4x3HZAkUDJUNtpPgXmPJtRkMxbBpGCfSWb7yJEMaTjEnPJ1ZHl6tXuQJJAkVg0dz56CUs1zzZs3D8fcufR/5mlku11zjNLSQtVtCyMs2kacTJ1trcLJJNBFiBmB4CQl5GKKdTeVZfo99WRcS68uYUm/WlhNq8lPfxgTjbpj4jagzNYv09AXgg6nX88fHbXPbdDRZNMJzcmqypD3a9lWPjMqKTgeOwqKaOysQFVTU28lmBRcMXSYf4VOkhjSUM303V/73xu93h/tlgyWlU2JEjRWq5VRo0YBkDNrFpJFO0k4eL5wh5xwMgn6ihAzAsFJSlwXE4CikJbbh3wUA0mqVtNqis03Bqr+agmrODbtBe8lP784mGSJa2cMptSeERFyiudoUlVIz8hkxPmz8ebbNdedBhysYtR/DrB5xTy+3nQ++/eNNTSnwv6VbHT+kZUrZ1JXFz830Qi2OXNom3Ve6LECrBrqXznS846vHDou4nm53W727fO3huj44kt8sfpC9XLICSeToK8IMSMQnKQcdheT4jPsuOlSRwcaUOoloejYtLOKUpr8q4VWDk08R5MkQXtnF2/97be4O1p0P2j9OTSLmfjvckr/z42vLbZACqfTU8PmLf8vZYImc8CA0M/V9gLaM3Qq/EJYvZmCiM1tbf6Ce4m+t4KdsmMhnEyCWAgxIxCcpBxWF1P52/D0WFh6t6HhhhpLAh5lQs/qTIYD7qhIfG5JoJVDs1/J4+PuoXjQzl1JV71srnbjzO8f89yyqlJUV8+gfQdIX+y3JhstrqeqsLX83j6HnMrLy9m9u6cBqF4dmd70Hped7a/Rk+h7K9gpOxbCySSIhRAzAsFJSqgarB7JupiC7qUYuTK9MWrTbvVdRY3nb/78mfm/TWxefSS8SvA10/wF8Q4oufiQdVdnAL46/XSUWLanMIo+bU+4uJ6iNLB799M0N69JStSUl5ezaNEiOjp6OnzHqiMTTvg4m80WKhQYr9IwgMnhCL234nXKvuT2u0WDSUFMhJgRCE5SJJMJ2/zYtuaEXUwx3EuxiG/T7iGUEFwbOyxxOAhWCb5grD/5tVhuJUvq1r9nSxLurCwaCo3NNZgYnGhxvX37/8iGr77HylWJ5dEoisKSJUuitpe2NJDV6Y6ZHC6pCp3p6aEk4Xlz5iAHLP5xm5cCPqeT1g8/DHXK1nMziU7ZAiMIMSMQnKS4li2j6YUXdffnXffDxF1McdxLISyRzV/j27TDCSQEf9SCuuXtxOaXIoKF9Yw2nTRSFTdIsLheV43dcMftIB5PDZu33GJY0Ozbt0+zA7gMzNj9tf+BjiBRkVheNoX99kJmrFzJoPaOiP05s2YhOxz6F5ckah5+hI9e+nPMOYpO2QIjCDEjEJyExLVlSxKuxe8l3lyyV8sCXU6JtlkbsWn3IONT8vC88bg/rHWECSYFG206ae10J3T+pIvrAaqqGsqjURSFyspK3f1DGqo5v3wdkt4qW2A56tNRp1N8qBrXsmW0r10Xes90fPElitMZa6LUtTppa4r9+xadsgVGEGJGIDgJOSzNJTVaFuhS9YXmZqtpNSWW68nJXGzoNAp5sOSXSXWQ7ivzxpZy33dn0ok5tthQFNxmC3VFhew75RTqigojcmgUSdLdZ292sXf7aUCCxfWUBlas+AtKWDHEoHjZvHkzK1as4KmnnuLTTz+Nea6M7m5UKXZ16DZrFp+fMRXna6+xf8ECds2ajWvZMkOOJk+6sY46or6MIB5J92YSCATHLym3ZQeTfuPmykiQmR/V2iBihKRg6f6cVubHvaxMc08H6cFnG5trCrlgXH8Gypfyz38sQkXHWC5JrJkxPSIZ1trRwcQNGwDYMHEi7szMiH2D9u1j36BB/u0t4CtPZ+jQ9VgyOqJOr8feve9TWbmR008/F7O5jKVLl2uGlGJh1NVUF2ar9tbWUnXbQgpuvSXucZZur6Hzi/oygngIMSMQHKd0ebt4Y+cbHHAdYKBtIN8Z8R3Maeb4B5JiW3aiSb/jr4Q1f4w5xCJvxZTpw9cho197Bhq77ySPZ7Em2UE6FYwdUwbq5fzzn//UHqDRdNFttbJyxgzN4W6rle2BSrpBGhtPobGhP3ZHPQ5HNacM2hJ3Xv4xW2hqXo7Hk0l6+mQgkRwclcyuzvjDgKLw5N2Aj7x50T9IKy7GW1enW4ynKMdBRnZOzAaTor6MwAgizCQQHIc8+cWTTH59Mo+vf5y/7/g7j69/nMmvT+bJL540dHxKbdlGk34zC+DKV2Bk/MaQkqTgmGHCL2T0RZKKze9sqku+g3QqsOiV7g+iU0U35r6o7SZanMXs2zs+Zh6NRgcCzOYORpd9Qn7+/tjz7EVcV5OqYvW4mfbluqjtvtpaHFdeqX9yVaVl+mTRKVuQEoSYEQiOM5784kle3Poiihrp+lFUhRe3vmhI0KTUlm10VWTeI1B2ib/bs60f+isu/q7Q1nOnk/fdEcR2N/nP0fy5D1VJzA6eSjZv3pz4QYHGjbr7dI8xsXvXZEC3sbWuPho2fA2FhXuw22uI7xqTkJFiu5okCbfFyjUPPsOnp02O2q12d5N37bWaZ1eBddu+jjkD0SlbYBQhZgSCYxyf4mN9zXre2/Meq6pW8eJWfTs1wEtbX6LL2xVzTEpt2dkGV0VyAo0JZRPMeyywsfdNO/A40BVazraAToXd8GMUtwnPiveNzeMw4PEYKzKXKhobT2Fb+Tfo6oourhdLB5nNHkaNXsn4CcuZMvXfhlZqhjRUa3fRDqPekct9N/00StA0PvccTS+/rHlMU1YGnebYmQ6iU7bAKELMCATHMB/s+4C5b87luqXXcednd/JfH/xX3GNUVP6+/e/6+1Npy1Z8oCpgdcQY5F9pYVBY4bOyS2D6j7WXEKb/2L8fUFpji7KIqax546i4mgCKO43llqSSxsZTWLf2Mr7edD7bt51luFFlkERCT0Maqvnu2qVkdHl0Vmj8tX+eveIafL1/p4r2CpBwMglSiRAzAsExygf7PuD2FbdT25F4cuuGug26+1Jmyw72X3rlEnA7dQZFrrREHLvq934hFHFtxb89UDtGzjGW0Awgu3f783eOMK5lyyh64jfaySoxUFVi5qLEOChsg0xLSwn19YNxOksNXxt6dOSQoesxUnm51l5Ap9kSY+lHpj6vgM3DRmnv74VwMglSiRAzAsExQHgoaX3Nerq8XTy67lHUBNsCBOnwduDTWaVIiS3baP8lWz9/0m9gpQUw5n4K1I6xDLYj28yxx6IiU49F3mo8fydFqD4f1ffeh0lRGLV9e2BjdCJL799jxBC9xBe97f4HUXNpaSlKuMCeJEFGRgd2e12vc/cWTcZt2o12Y+Ijr72TjC5vTAEonEwCowhrtkBwlPlg3wc8uu7RiBWYXEsuzZ7kl9fXVK9h7ptz+eWUXzJ70OyIfX22ZRsRI9Y8uPxFf+2X3k6UuO4nNVQ7Rhp8NrmXDKXx1W2oqEi9cmzUwI3QI61AkhQUVy3V2xtpb+0my2ahdLgDWZZQFJXqCiftLk/EdkB3n5FjGr/YShuFOGhh/KbNuC257BvcK4dIVVEkH6awasEdajpT16/D1t3OV1p1Zvbv76kzEyDH18YFaSsAWMI5uMgJ7bPZbHR2drJ712RGl32i2WU7Fg5HNWazm64uK2qLlbHsZBVn+H8XgdfcaPPJ/BZj71sJKDvUwIZB+jlXwskkMIoQMwLBEcan+NhQt4H6jnr2u/bzh01/iBrTFyETpK6jjttX3M6T5zwZIWgyz5iEqbgYX63OKoYkkVZcrG/LNmLFdjf5RYzWjcjo6knYODX4fxo36F0eH+Wd3+S0TJWK1wppVzaF9mU5LAyfXETF+jranZ6I7Wd/ZzgAn71REbUvoWNOW0haVxuKZEJJt5Jfq9CZeQifqZN0j8TEDR/y2YjNfDylCLn2Qto9AyisreW6yp0A9K86RENhAe4MK9ZONwX1DciqyrivNwe2Z5CX7eKM8duRAwJylLWFfVcspa29g+zsbAYNGsT27dtZtGgR28q/wdBh67FYjBfYC69bY/H4GLGrgwGNNbxjvhR3l3+FL2jTbrdk6ColWfHhzM7R3KdHulehOz3yfZKRY2POjbeKBpMCwwgxIxAcQbRWYQ4XwZWMx9Y9xrkDz8UUEBatH36Ique+CdykdG3Zig8qPzE2AT3RYtT9lF2Mqqg0v707MDXtG2h/s4nyToWNHZdG7Wt3eti4/IDm9iV/1i48l8wx3vSs0M8yMpkdA/wPVJXyMUMwe/9Kg3ULN8wdRHfzWFr+1FM0UFZViuqiQ3o92/0Cpl7Jpui0ViRAvug3DB4yNGJ8WVkZV155JUuWLGHd2gHY7XWYzR0MGfoF6ekeTf2hZeX2mGU2l2UzLvcy7jjtbiorK9m3bx+qqnJqcR6/qnfrrskpksT9Ny5Efv4pZm5crzPKT409S3dVprM1sUrFAoEQMwLBYSB89aUws5CJRRP5+MDH3L7i9qTzYHojI6PESdxUUanpqGFD3QYml0zGtWwZVbct1M1TkO12Sh+4X9uWXf42vHcHtMVIHg5HT7QMmu4PQ7mbdA6UwNYPZeA0Dn16EFxd+hVpJIlMCfLTZBq9R6/OTEw/tKqSbr4cSd3K2fsbyPnD/8OrtyqmfRJApWl7NgVjW+HsH2Mac6nmyLKyMkaNGsW+fftYt24d27ZtQ1HSNENPejVp/HOG7e3/YXjtWPLyShgy5BtIkl/cFtY1819b92m/8yQZVIVnr7iGGZu+wKTbcRvK+xXoTMDPxy8/z9DJU0WYSWAIIWYEghSjtfpSnFlMp7czJUImmDfyxDeeYEfTDp7f/HzcY+o76uNbsgE5I4OcWbOid5S/DYt+YHiG2PpFWrHD2b44hpABUKkZeRdL7lmLo72LM7Lif0xlJJAfcuRRKWmqZ+GyAqwbfo8xD09v/E/wL1tmM+GHPyW653gPsiwzePBgBg4cyEMPPRSqSdM79BQzp0aC7u4myrf9DACLpYQRw++lqGgueelpsSV0mKvptIptmkOM1JgJdsseOGZ8zHECAQgxIxD0id4rMM2dzfz8k59HiZa+hJV6JwMXZxZz55Q7mT1oNrkZuYbEzIb9byJ99iqnxrJkQ8iSnTV1Ss9GxQdv/cjgbHWs2OHnWnJn7DmYHfzrnRJUPGSkGVMpnUdxUSYWhfUbGb7rH2R4nCk535jd+3l/SzUAUwbnYZL1X5+0tDSmT5/OqlWr/L2dGoOhJzeZmU5D/Z2CeDy1bN5yC+PG/oE6dUr8AwD3hRfBM9piRtSYEaQaIWYEgiTRWoGRJTnh1ZcMbxp3HLqOUz39aTW183L+O2yybUeV/MJl8WWL2dSwKSJkFcx/mVg0keLMYuo66mJe94196zi4VeE2A/OJsmTvXgFd7caejK2fX8iEW7HDMZA8nNblpNS8jUNdY2n0qrgVlQxJO2dGVVXcKkc3xASgKjicu7B0ufCYbTgdwyhs+JqxW/+S0suYVS+vrN7HK6v3UWrP4L6Ly5g3Vr++zJxAuHD16tWoqr8mDYDDXg0JiJlg9vXOigcpGr3Y0BGDJozT3SdqzAhSjRAzAkESBAva9RYQvfslxeOpyjsY2Xlqj+XYW8jDh35M16FuHu//IpefswBzmpnJJT1l4lXVR3PzGjyeOiyWIu6c/At+9snPNc4enFugf1G2sTlFWbI3v2HswFPPgWv+pb0iE8SgkylL7vlGfrBLYZgluiRW0Ja9xe2lpy6KVuksHRtUsvQSLundbQzf/WbE6kun2YGs+KsXpzICtj+nKPRzTUsnN7+6gT99f2JcQXPeeeexfv16mpubyXXYOeOTa1jr8eExywl4uFU8nmqGtL5Jcdp46rwmVJ1n18+SzjemjKWypMSfH9QrtJnX3km610e3Sf/6osaMIBGEmBEI4tA7lDShYEKfCtoFCQoZLdJJ41dVN5JRnUaN5W0sliIcjsnU13/AzooH8Hh6wkVWSwl3jDyL53d9gtPX+2bec6PYNlDClQE5nTo3WD1LtsfgqszBNf58GL1VGTDsZGpX/N/IS9MlTSETZJdHodnbwmmZHwXcTAqRgib4O+q9XSHyVTB2Q9cKG2m9CyxdzpSKmOA17pt+Q8Q2Cbj/nXLOLyuJG3KaNi2QaVP+NngaGLHLzOayHBItSrNn9//wXabyNHeApC0UO3wKS5vbOPvuu/wJ572otWf5hUwMRI0ZQSIIMSMQBNBzIKW6oB34Q0tBIdO7EFxwm4pK2zt17Dnv5yCppKc56PY6o8Z6PLX0Yyn3lsJuj8zOTpnlrWZ632QmV6jkxGohpKraluxB02DHu/GflLfTXxW4d8XfiHMFOma7qtGSAaoKbUoB1V2jARhn9c9F05YtwfCMVmbabsAkeykx7+Qz1/W0KwWhIdlyA8MyPqei8+xe2xs5y/YCQPQxuRaGTcynZslK1KbGUNhooLuc4TphI512mUkQLQ6Cr1JVZj4d6ZlR+6pbOnlpZSUFORaKcjJi59KE5SwVNXYxrryVncOy8FgSEw2TWctCnuCv6o9ok2xR+1u8Pm7Yspe/nj6Fs595mur7/huluTk053hOJtEtW5AoQswIjkm83i6+WvIuh7aXk55hpezsczll3ARk2YSi+KjatpU2ZzPZjlz6jx7T529wWvkvdoudFk9L1Ni+CBlbeiZm2cyP9l+pKWLCkZBI9+VjbR6JO2+7ppDx47/dyRIMz1Bw+TTEkaJy7XIlcF5tTA6HtpNpyk2w7B601yA0WPJLGDU/Ktzkr5rrQhp2F6UbfqI7lwr3WaiYyE+TsMZYbfC/fg66M8/C1LmCoRlrGGxZR3XXaNqVXLLkZkrN25AlhWk5r2puVxUoVjfS4BmBp+wyss44nZzOVuoeu4e8sGRpKb8Qydul6eJJ3QqMGvZfiba0NB697sccKigm19nM14cKdT+wH1zck2gbM5emV85SUWMXhY1dOO3pdJolKoZm0Z1uLPQ0ifW8zHWaKztBSfbriirWn38+JZ0eDv3iF0Bi3bKFk0lgFCFmBMccn7z6Al+8+++IOPu2zz4mPSODCedfyPaVn9LW1BDal51XwHnX3hSqFqondhTFx/7yzWzdt4EOi49BZeOZVHKGbv0XLSHTN1S+bWtmnNVH/4qC+MMDpHnsCV3FZooWHaMPqBS0xj7O53RGO5kA0sz+Ttarfmfg6j2tCBh8dmjr7q/qwqrmDmBa9jc5PestTSVwetZb1HaPwKMYq/6qzP0z2LbDP69FdjfT37I1aowsKVHbXQcyqN1gx+s2AQ2w+i+0/6+P1q5oYaw21qeoOpA+aZk+ik93YS3qZM6ov7Bt4PCQSKgcOAjGqvicXVjWNcQ8T8xcGo2cJQnIbekGwKTgDz0ZYDujaZb038cqcMjTzRpnG6cV94QXhZNJcDgQYkZwTPHJqy/wxTv/0tzX3dmpua+tqYG3n3yYS26/G4CPXno+SuyMmjGTTZ8uo7ulLbR9W8abPHO6wr7iDlBVSposWD0m3BYftXkeVMmfElCssR1AVmDUvhyyO9Joy/SyfVArigwE0iLDkyMdJoXLHN1MyAw0f7TWQvsAQ6+J15KYqBpqUXCYFJw+iaBayG2LfUzoWnrNJec86P/vqt9jaIVmm7/rNYOms3tTY0TlXAkfw62faR4WqDHHWbYXeK/5TENzlm0ZMPQcuPh3/jAXRMxRVaCj3oy300Raho/Mwi5aqzKoWhntlFG6ZFKeMBwD26B2Mvp52ThwNC1Fduq6G3lg8E1ssw3XnILqMOOZUhBT0MTMpYmTsxQKPY0fhMcXW0w4MeY0quvy+vOwCgqgoUE4mQSHBSFmBMcMXm8XX777VtLHL/vLs5pl0NuaGvjinX9FNSrM7DRx+moT6YMlhlT3J6uz58+hPcPLntJ2hlRnRW1fW9ZEYbOFMZU25LDznbEtl62DXXw5upkF+V1kySoun4TNpDLUohB+T6ke/ydyPvLnX8QKN6n4MHUZtCEFkCW4zNHNi43BbtNS8k6mcOY8CEPOg1cvjX+idc/Duufpziihsvk6oMeNVWreRo6pUfdQSYIcUwNmeSud6ulYpBihMbsFy2D/ypU6cj4dZffhXfE8aWpDSLTUfpWLt6PnDGlWHz0NxVOX7ZIMa8+exIOTbqY6o8el1LMi2WsuAaWnOsx4if3hHcyleWr5DmYMK+zJo4mTswQSRd2FFJ61CqdrAx5PHV1dDVTs+p+okQ6MrZwUpKchmUz0v/fXVP3ktlC37M50k3AyCVKGEDOCY4ZNS99DTdDaHE6sfi5aHZeDSbZjK6MTGDM7Tbrbz92gfcOXgLGVNsZZfZw2MI4FOc1Ll7UWs7tYc27hZ+339S0ckp6lrfjL2OeE0NfyCZk+fkgX/3am4/RJbBso0ZANeW3a5mUFoChPv7lkkCEz49wMI0lz1zAr42G6O3/BHo/fTRNuu45FltyM6ax+SCu16tL4n6h9/qlIsoRr2TJqH34EbyjPpQA524rS5o460uuWSbVoMbKW45MkNg8bRaM9l/yWZlrzM7lv+s+iXXGx8lUC+3wT8kjbFKuKsp9nP97Nsx/vjsyjmfsI/GOB1sn9/5n3KJLJTG6uf2VMVX3sP/A3PJ5awn/no9hGntpAE3n+NgY63LJlB78aqHDl+bPo/7tnqLr9Z5Q6W6ksdOgeI5xMgkQRYkZwzOCsNdjzJwn0xEKs7bEEkNaxUiC4xLZclGm1yDG/OkvIijnmHPz7ZFQUirZfTVvRhoAV1hgTMn2Ms/p4vyWNli/SsPj0hYwE1N54EWO0mkuGI5tg3mOBcE7g+cYgPGxUWT8FFVPIdh0LXzcMad+H/N5rYD+HKIdPoI129X3/Tfb0wTS98GJULRMtIROYVdzrJ0L834jKp6dN4dkrF1Cfmx/aKis+/3sphhDQw15ipXNT/HFBgnk0/zq3gdO3Pqo9SKfgoSSZGDH8XjZvuYXw37mMwjW84Ldoq4ru86jzytxWaeLAwR9zzWnfxPSXP1H59KO6L9wZF39LdMsWJEzif0UCwWHCUVxytKcQQSyhE2slBVWioTz2DdvaPJJ0T15cR5P/jDLpHr+rycDgnvpx+ENO03eq/OxfCtk69/a2DPjtt2R2jOyiqnoJKz45g48+LuPzlTPxeDRyaMou8duvbfqF2iKmFAgblZr9jpvqrtG0+vJ1W0Qd+CyXnW/2o/uzNUjmCZrjglbt9IFzafpbtJA5PKiYzAqmvMgVu8YceOoSvyhU8a/AbBw+mg/PmM7G4aNZcfpU7rvpp9Q78iKOU2RTUkIG4JSsDErtGYZlmQrMlddx2uqfoOpVYJ7zsK6lvqhoLuPG/gGLJTLnJmjRziPGKpHkz0N6oftbbNryY9Z9GBBTOpPfsepTlJ44oEBgCLEyIzgm8Ck+aqT44Qe9kEzsUM2Rp606k/RMH2mZXrJLOqLuWYk6lBI6JvxlUGDkW3LU5iAq0JUO64dLrNv2T17buSiUqOzxVPH552cidVsZsfZ5smb0x37OQOQ02X/TGzUfZe9KOlb/g+yKV+JOa4D5a6q7RqNiosJ9NqdnvRXl6j3wWS5tVRkAmAqGI1vzdM7mFzRSZh6mguH4GnYaeGGMopWz4t9WMtlJznAvbafcyANb/s3XxQOpLM1lcHUzqlTO5xPO0FyBCUw4ZTP8gddC4cVl3PzqBgPrY/5VlHvTX0FVQdvtLsGyu6HsYt0KzkVFcyksnI3TuZ6mplXs3fcHwC9orLTzCPfrT0CSaaKA7eooho3fQe2WYYQy6XshGkwKkkGImT6iVWjNJGK9mui9Vh/s+4AX//04p69OB/RXRILhnd7CJbi9M92HpVs+JsSOa68N117/N/j0rG76T6/FMaTHG52oQwnAa078GPMuiTRnrDAWFLT6rdvlgyScPokXG838kK6Q80pNd7Nz6k2M+OBPtH+wn+yZ/XFcOITdmxr57A0T9o7hXKavOUJMzv4Ho6wfsdL1w5CbKfz+7usmJGQAJIsx8WZ0nDa9s10CIRSzghJm0Q7apm0DO6Gzk2fb1/P6uQ/jS/OLlk2FcOnTLtrSo23NSio/D1QV2afgXFTJ9JvG8qfvT+T+d8qpbolVDRGmyNvpJ8XuVK5lqe+NJJnIzT0Th2My1TVvhvJoXDgMTd9JLuZsL6fOPoCcpuJpMVO1tgh8ka+RsGULEkWImT6gVWitOLOYX075JbMHzT4phU4swaL1Wl04+EJe3vIS3/6qHxA7f6RLVtg5qE3DYeRjXZn/g/rcDYW6Ykdve7zrRqPjNtHZ192ezt7l/Tn1/KqQoFFKXJCtQJvxMEPp5puoG/2asUTgAKYWY8+rx7rt/57/b2c646w+/7d41S9oPLiwYKPt0yqcdR0sWVMHQAf+sFG23Bh38SFbbmSu4zea42o22gh/3VSDdX6MjotAkjDZ7SAr+Jp6EseDoiWnfycd9WY8nnS+GtBjmz6z5Wse738ezwy9J+qUISGTwhWYCAKhtG+t6UBW4fNFFcy6ZjQvnjeG/R0evva4eXbFbs1Di3Aau4bB3lm982iMOpuC4xxDgi0yOigY66RlbzZ7lw0MjRO2bEGiCDGTJHqNBus66rh9xe1cO+Za3qt8Lymhc6yIoETnqFX6PyhYXtr6kuZr9eLWFylpskSIEz0+PqOemgIPG0Y5dWu/fDyxnqnleVFip1LTZu2j7hQYsjPZPwPtb/XaIkeiZvUI+hVPxV7Yn5GTv0Wr6yBtn1YZvlpal4N+m27l0ASDzibAZzeWSxJp3fav0Oz2yAzPUEJP58CM+xm28rf+do7bem5eKiY+d13PPMfjcdv8SJJ+SMRdZ4mce0MFiqcNyZyl2zFbdTfja6gw9BwjJgGUPHA/ObNm0bF+Hd5tq0izKmQOzEBa7hcqK8ZM5Z6hP4mwTZd21lGbbo04T+/zHi4yOxQu/KqD0VX+AndtzR7+88zG0P4Ch4WpaWYkZSNFOKnDwTplFAoy9UQ787TY6rIySlFj9nkKEsyj2VnxAKM88Z1NkuqjFe2CfPZT2zh1zgH2LhsobNmCpJBU9Yhkzh1VXC4XdrudlpYWbDZjf9Sx8Ck+5r45N+KmbYTgt/9YQgdIerVHb188cZSIMNGbo17p/3D3jx6DD2XyjY0x6psE+OS0eir7dcQdp1XoDklCUuG+gQuxdBJRAXjP+rVRhfZy8gsYOX1mVLXhYMiovTaD+s35unH/eGTnFXJB8XXIsaMDUagoeC3N7Jn5c31nU5jGytggkfu3NCSdeSpAUw7c8v9MqL1uYOfndHGB3duTY9FtYeTHfw7t3+z2scfTY6UfYlnNWba/xawhE4td7xXQ7TKHHqeVnk7GlB8B0b2Zgh9bneuew1v9VczzSllZqO09zTLTSkoovvsubHPmAOD2+bh/1yEq3V0MtqZx3+L5fGQezA1lD0S7jRJsypgKztraweBaL6c0eJFj/in5d85zPM7QjDUAHFLzeNs7ne+lLSdH8ugeqahQQz5neZ6h2J6p3w5B66qqD6dzPe/Vt/LzqoKQ1y96oN83t5AnmMzaXufw/3fT30ZwyW2/Fm4mQQij928hZpJgfc16rlt6XQpm1kOsm35fRNCFgy+MuUKUSE8iI8IkGUoaLcxbG9/JtGRqDTX5+h/I4J+j3WLHLJupc9f1XCOzhDun3MnsQbM1j9NrgVBT8z5rPrgTb4cpKplX8UJDeS5dLjO+LpnmCofh51yYMZDzSq82PL43+yc9ijtve/Q9I+zXk7FRIvcv/lUnrTBa0JL922/JrBup/W06vHKxqT2fYSt/G9q3p9PH5s7IukASPiZnv8Hk7H8k/JzqtmbRuDmY/yKRNfcRpIxc/VWZrjba3/85ums9koRst6E4e97LptxcSu67F9u8eQAs+HoPSxt71ydSMXs9dJksR0a46AkkVcXWofDjxS1xREzEQaTTyeSsvzMu631kyRv6zes9FVX1v4I3dy9kqTIlNF6zHUIc3qlr5r+27kXRC9uqCnk08Qw3I2t0uqrf7GDSmb8XYkYQQoiZMFItZt7b8x53fnZnCmbWd5IRGOHiSCv8c6SRVLj8o/5keky6ybvtGT7ePLcq5kJI8Ngnz3mScwee2+dQnar6WLlqJh5P/Po3rYcy2f3OIMPnPiVrNNOKdDpLG8Bt28PBiU+imCP7FEieLByHZtJavJr8h9qRnfr5QD4Jnr5UYu2oWK+L/73xw/wuvvn5U1jCwhW9V2aC9DNv4bK8Xyf8nBQv7Pin/+ZpKhhJ5lk/j3tMx+e/ielkiipmJ0moqkrV/Q/x+4KBrJPSAwMOs2gJfszGUhTh+wLjL1/ZFgorJYqEjwmZbzPd9krMZ6eqcEv3j3lPmRZ2LJTYM/j8zvMMhZyCrGxu5dsbtfN2wvmVei9lRPfQcu3PpH7dJG549m+iaJ4AMH7/FjkzSVCYGT8kcqRIRogEE2FfLn/5qAsZgIG1VkyKdu2W4PzWlTWFhExQwNnNdlq6er51F2cWR6y+TC6ZHHU+IwSXzZuaVhkSMgDZJR2YsxW6DCb0un0GmyXpYHUNYdiK39GRu52OPH/9lsymUWQ2j0ZCJnfVeDqdT8U8h0mFVmu8G1UgIbjZzLfxJ9aoqv+3oiVkwF9Hpl0tIFNqRErg/SWnQd6oNpq2Z6fMyRT17AJzdzx4P+t+97LeqOTREi2B8IqRyr5BbB0Kc8LyY5KaCjIbOy4FYIZN3zovSVDSqyxCsB3CSysrKcixUJST0dMSIQZ1Xcb6Lun1dfK0mIU1W5AUSRfN+/TTT7n44ovp168fkiTx1ltvRexXVZV7772X0tJSrFYrs2fPpqIiMlGvqamJ733ve9hsNhwOB9dffz1tbZEf8l9//TVnn302GRkZDBw4kMcffzzZKaeMiUUTKc4sPqbqmiSKiorSh9YBqeKUGivnbijE0q2TNJiRzlfTutlf0lPxrTizmKfOeYpPvvMJL8x9gcfOfowX5r7Akm8v0Q0jGaWubikrV81kw1ffC9XRiMeA/j9g0qTXmHvT3Yav09B5kA6vi74sjErIZDWXUbj72xTu/jZZzWOQgn/SnjgtsgP07zByfQmnIrE1c1dovjXd+u8dFROtU/478NeR2N9I8Wmt5I1qP6xOJhn427eu9t/F+xJG6v33E3icTeRrL2E8z2ZoVRc/+MjFjxe39EnIBK8MsLHjm3iV2N9bT5HqNLc/uHgbt/3fRr77lzWc9dhHLNlSHfM8RWZj34/tvdxVqur/V7XWn2wtrNmCRElazLS3tzNhwgT+8AftD/zHH3+c3/3udzz33HOsXbuWrKws5s6dS2dnT8bj9773PbZu3cry5ct59913+fTTT7nppptC+10uF3PmzGHQoEF8+eWXPPHEE/z3f/83zz//fLLTTgkm2RTKU9EuaS8wgqxKTC3Pi1lRNzvLwUu3vqspWkyyicklk7lwyIVMLpncZ8dXXd1SNm+5xfBqTJCionnk5p7JiKlnccntd5OdVxD3GBWVDY0f+n/uJWhSEfk1urJx6aAuzs/pMjT2rdyP2JS1Ax8KjjTtj47sXAvz/mssJfN/kFCV4HCKT3Mx9Buf4s+O1n4tVFVF6WhK3MkU4GBR4vPqubhCtuoit1fV2zyaWMgT/Inr+ZV6L/OUdwIrQcY/Znf3S8dtlhLIkYmHBMhs7rgg5qj9alHM/dDTEiGWoDnTkU2pJT3up+Cf+DHrmQr0LGa17M0O1ZsR1mxBoqQkZ0aSJP79739z6aWXAv4Pmn79+vGzn/2Mn//cH/duaWmhuLiYl156iauuuopt27ZRVlbG+vXrOeOMMwBYsmQJF154IQcPHqRfv3786U9/4le/+hU1NTWYzX6Xwy9/+Uveeusttm/fbnh+qc6ZCaKVPFuSWcIFgy/gpa0vAdG1TI6FsM6RJFbycllbKVM+NesdGuLKex8+7EvOieTH9CBhsZQwY/onSFKPkAomE7c2NfLxy3/RbYDZP3MEM4ou9Z8p7Jt78E9SK/HVKKqq0Lbkl+Bx6o7x5UrUPuihokvmD/UZuuN6k+PN5Laa76FWj6PRqzJ2Zj9KhzvIslkoHe5ADg9FKD5/IbZtb/s7aSeAe/KrNH7m0Njjz4Sxjumk7uHbApt6/q4U4n9Le+bKBbx17rz4k4jKZelx5ExiPdsZjZNcHDQzim2hpFYFmdv4E03kJ7b6o6rkdCj8xFDSb1RGkC6DLau5MDd6VVtVwYfEKM/LeA1kHQRzaX5z+QQa2j2a4afF9U5u2LI3NEPtqfe8jmeoayPqzOTkF4icGUGIo5ozU1lZSU1NDbNn9yz52+12pk6dyurVq7nqqqtYvXo1DocjJGQAZs+ejSzLrF27lssuu4zVq1czc+bMkJABmDt3Lo899hjNzc3k5urEXT0ePJ4e14vLpd9NuS/MHjRbN9F0fOF4TXeREaHTW/QcDhEkISFJUkKhJiNzjJXHctvE2yJeq8yKNpZ8+tuo6/TmSCw5O53rExYyACOG/zpCyADIsomBY8ajeBW6d7fxwft/1jhaYmL+LP/PvW52UiBJ1ad4McXsVqmPt3ojqLHDFHl33Eyt/DRDLQoOk4LTJ2Hk5thq6uCh/n/hqs7rcdSPZ8aVI0jTWalBNvVUlE1QzNBaA5qVZf1zzDz9dPo/83SvbtlQ78gjo7uLnPY2XVFz05uv8tY5cwOn03YSAeQ5m2gKa02QRxPX8ELIWqyVxAqwndE0SfFX6KKQJFqzTOwvSOPU+nj5J8ZFUroU3Zgr+Nf7V+98Q0ImeEx1Syff+1uPtTqiIzcwv9DBX8eeyj0VVVR7dN6DkgyqwitcxyRpPQ2be0pIi47ZgmQ4LGKmJvDBUlwc2ZSsuLg4tK+mpoaiosilzbS0NPLy8iLGDB48OOocwX16YuaRRx7h/vtj9AlJIcFQR2+SETp3TvE7pFIlgvQIrpYsKFsQ85x6wkRvjndOuTOmi6j3a3Wg8eu4c4XDu+QcTPatq1uS0HEWSwkjhv+aoqK5mvud7+2h7bMq8lUHM4ouZUPjh7h9PbkUBRkDyEyLYTOUJExScn+e3Yc20LnuOd39ssNB6QP30zG+E8r9vXouc3TzYqMZQ9/2A1WB3zvln1xVP5Z9mxsYenqcMMWg6f6uzK5qDPWZVmWcX8c+p/OdPZTceT45s2axbsVnPPPlVhrtuWweNooZm77g/uef0l2lMSsK5u4uutL1VwbN3V288M9bWX/9cP/qixS5+qKFgsx2RrOOM+M+x1hsG+Bv7RG/toyRdSgYlb02apuExJ6R1/HyvvkQpx1CLILhp3Ar9/xCBzkmmSs37dE/MNSvaTSZmf4vLKJjtiBZTkg301133cXtt98eeuxyuRg4cGCMIw4PyQgdIGUiKBjy0qozE1wtiXXOZOYIxl1EHa0uJElGjbE6dDirgdbVLWVnxQMJrcicOugW8vKm43BMjlqRCeJ8b09EZd8BWSPplzmchs6DuH1ttHQ10O519nX6mqiqgufrN2KOkTMyyJk1C59rfWjbhEwfP6SLfzvTAys0cZDAZW6h2rabzxdZGTyhMDK8FHVRE8x7DBZdQ0gNxcCjjMGnxG745Gvx4KlsIWOog7pxE1ghO0Iy47PTp3DfTT/l1kUvU+TsyW3xSTKyqrB52Ci6zBbtEwNIEl1mC19+Z7h/9cXAS7KeqbzCdcmtyPTiixFWvhhhJafDx9wNsVxN8YVMukWm/3+/D5WfwOY3wNMOg6bBlJsYkmbmc0VlXWUTda2dNLR6eHDxtoTmGpS/979TzvllJaGQU2O3sc7XTnIxd/iF/o5Vn3L21QvEyowgYQ6LmCkp8RdAq62tpbS0J9GutraW0047LTSmri4yg97r9dLU1BQ6vqSkhNrayCq7wcfBMVpYLBYslhgfVMcAekIn1r5kRVDv8E74MfHOmegcjVKxdhXvPvVo3HGHa8k5mOxrZJXAjz8/ZsiQ23RFDIDiVWj7LLpFgSzJFFlP8V/bvZ8tzs8NXbXT145FzoybPyPnmLFfNISO9eto+0/ssJy3poa29euwT5mE/2bolwATMn2Ms/p4vyWN5a3xc5kAhtnayantorrCSf+RcVbQyi7xJwUvuRNch2IOVXSsu1HjWrtYXO/kpq37on6Tn50+hZUTzmDcru3ktzTTaM/F3tbKf//laRrsxs7flGNs3Hqm8jR3RO/oY8XgVqvMP2dk96nezKxry5DT0mD4LP+/XphkiWlD/aE0n6Ly188rqWnpTCiwrWXlLsg19h7Kdrtoq8kERMdsQfIcFjEzePBgSkpK+PDDD0PixeVysXbtWm6++WYApk2bhtPp5Msvv2TSpEkAfPTRRyiKwtSpU0NjfvWrX9Hd3U16un/Zdfny5YwcOVI3xHSik4wIiic8+ipMEkVRfHz0Uuz8CUmWuegnvzgsS86q6mNnxQMkImRAOz+mN22rD8U9bUHGANq6W+jwurCacnQr3Hb4Wvmq8UNmFF2KqqoxBY3S2kXz37eTMcrYn/SDi29njuP7SL1CJrIEIzIUlhtzdlPsszE+00TntkaIJ2bAL2hGzIMnhoJHP5dNNti4kJx07qmoinjJ05QufnjoLQa5D7HP2o8Xh11KmtLFP3c/gU05QNW8ItJqjdVDMdJAUUHmFQIVwbX6NekUxDMkcgLHv3dGFl5TBzluxUDoyY/ZauK8a0bHDwGGYZIl7ru4jJtf3WBg/Sya8FWdEnsGudMLcSo+VM32Bio2WrB+1ky72tMcTNiyBcmQtDW7ra2NjRs3snHjRsCf9Ltx40b279+PJEksXLiQhx56iLfffpvNmzdzzTXX0K9fv5DjafTo0cybN48bb7yRdevWsXLlSm699Vauuuoq+vXzd1C++uqrMZvNXH/99WzdupU33niDZ555JiKEJDj+qNq2NaLfkRaqomBNofMM/CKmuXkNe/Y8k1BoyWIpYdzYP+jmx4TjbYxOtOyNLMlMzD8vrjX7q8YPqerYycq6tyLybWLh2ZeJkZjIvnQX/7v5Wc19Qy0KdpNCzFuZCgXdDsa6hwNg2dyAqhi89R1YG1PIAFjkrci4Ys7BZDezu20dUw+8z3TnV8iqj1/v+gP7PpvDg7v/wA2H/s2Du//Avs/Op3LlfM6oWcGI9t2c69jIDcPfprizCUnPzKkq5KkNjCJ+yCWU7KsnTnptt3a6sXYmkKMiSXRkyLw1LZv/Pc/G7y6ys61/etzD0i0mBk9IvMDnvLGl/On7EymxG3e4aVHb0knxrvX+36BWKFmScEkOfjPjfnYOLgttFrZsQTIkvTLzxRdfcO6554YeBwXGggULeOmll/jFL35Be3s7N910E06nk7POOoslS5aQkdHzB/Laa69x6623MmvWLGRZ5tvf/ja/+93vQvvtdjvLli3jlltuYdKkSRQUFHDvvfdG1KIRHH8Y/eaVym9oyeTHDOj/A4qK5sXMjwnHvaUB98Z6Q+cemD+aDFN2/IFAVcdODnVUMMw2kYn5sYsCqm5IHz6F7orohE/oaSy5baDEUJ3cGFmCb8VKCA7c/39UewUmZP/u9u5Q/kpc2uI3aO1UpqLodFgOTsLa9Tbj/v0swVRnt2wmQ+mKknJa39jSZYWHdz/J9WUPapza/5yv4QV/sm+MnGgFma2Mi/d0ADjrq7VcumIZp1X4BVL1X1/my9L+7Gjv5P0G445Lo6GndqfB8J8G88aWcn5ZSSiXpiDbws8WbaTW5TG8WnN60Sb+36l/Y70ylf+VrqMJ7Vyitiwb/5nzXb657O9MctWJjtmCpEhazJxzzjkxi3tJksQDDzzAAw88oDsmLy+P119/PeZ1xo8fz2effZbsNAXHIEa/eaXqG1ri+TF+gsXwjODe0kDjqwYTJyUo/uVUpCdMKO3RN6OgNfv0/Fkc6qhADfzP44vfMdx/Aqvm5mBjyZfOl1Flid0emWavhMOkRi0qTMj0ca7Hy8dtxj8i3Fv8q22WwXakWMnA2cX6+/A7mZq7g19Y9M/jdk/CbpGRJP+3/gxFu/hf/HWqOA4uSXtIogm/3/54qV/ISBJpxcXMPnMi55tMrGxuTUjMBENPy07PZOSh2PVo2l2xG7PGIjyXBuC/LxljOPwkofDdUW8CMEVay0S+5Fb1eVqx6YbiPpp+IT8tMovkX0FSJB1mEgiSpXTkKDJyYoeQUuViSjw/BvzJvqU4HMbyiFRFxflO/OZ6QbLP7o+3qk1TyIRmIElkpdkoyBgQ2ma0n5N56EWklZ4etb0tI7JDtorEW06/WOn9vURR4Su3zk0lcC/6c/E/8YXl3LSvrqbhL5upeWxdSNhoErRp6+BRxqBQSGwZIuGjEI8yJmyL8corPmTuGfoTNFWK5L9dv8J1KMGPSA0h8zR3+IvixUNVKGxqYNyuQKFPVaX47ruQTP7X12jV3N5zdGWZWDfMwpZTzOwtTEPROEGWLXVGiETCTyNyd5OX4Qzplp2MpFWyxwzFteY4+Fo5+W5Jqs9H+9p1tLy7mPa161B9vrj7Yh2T7HHJ7jtWOCGt2YJjl4q1q/joped1q+IG6auLKZlmkX6MJ/sG8VS24Gsx1hIge2Z/HBcOoWOjdi+c3ljDQlHBfk56ScNBJHMOGVN+ROe65/BWfwX4b9ld6bB+eM9x461eLnV4Ne8vuz0yTl+MG4sE9enNbM3cxbj24RHz8bV00fjqNvK/PxrrWI1VC9kEpafpOpqMOpkSHRvOGvt4qjNiJMaG1UAJL4xn+UrCfbqkn/Dbm0Cl21v/8QqmYGXnrMyIISZJ4qHh/blhy96Ek26XT8wK/dzbxm3JSqN0uCOBs8Wnd/hJz8ptt0T+fes1luzNJ598zOVnTj7hVmdUn4+OL77EW19PWmEhmWdMQjKZcC1bFlX0Ma2khOK77wLQ3GebfyGuxe9pHmObM0f3nLGO07tWvH22OXN0n9uRRogZwRGjYu0q3n7y4ZhjcvILOHfBTX1yMdXWvs+Onb+muzvxnJt4xfC0UFqNCRnHFSPInuQPscg5xmyr4asxwX5O8dxNwTCVZdx3/JWAA16SglYYfUClfJDEeKuXH+ZHzzu4QuMyUmsGaDS1aLuxgOp/b6Uxz8rEkkmRfbO8XbBTu0ihqsp4FYeha0MCrqde1JkNrKgQfRNOq5LYPmE0TSZjoaXC5iZu/ccrzNzYU9NHbe+g6ie3we+ewTZnDmCwam4ceufSSBJ0dHSTnW3svWYUI1buFk/kyqsRVxjA4glnM+WrLSyYNCFV0z1iJCpYbPMvpOmFF6OWRb21tf73hwbemhqa/vZC9PbaWqpuW4j7uh9qnzPWcXrXircvcL1YwupIIsSM4IhgxI5ttdm57nfPk5aW/IdvRcWj7D/wl4SPM1IMTw8pK76zBCDN0bPkbxlsx2Q3x1zRke1m3C2dEGZ8CbqbziiYQ4YpS/dYSZKQMvMwFQzH17AztD23zd/F+TJHd2Bc7+P8n4M2k7H1gXyfdkNLCTC3y3z82r95Of/PXHLOd8jNzKW+o56xFZ9wioa7xe2bhrP7JnwYceComGjAImu3E4hHUVejoXGhm7CqYuqWWD9/FOsCDRLj8f3F/+Laxf8Mrcj0pvbhR8iZNSv0LXZ+oYN5BXbWONuo8XTz611VNOkVntOqX9Mrl6azzcvLP/8cqy2d6x4/29CcE0XPyp2d3oZPlTBJ/i2j2Eae2kATef5WBjp0ZmRxZ4tC4+YDDPXJmr2fjjZaoqX1ww8TEyw64sJ/gSRa1wSOaXrxpcSOjzXWwL5Ywopnnj6igkaIGcERwYgd2+1qoXrH9qQLZtXWvZeEkDFWDE8P95YGmt+Ony9jsluwDO658UuyhHVCYUSl4N7kXjyU89pvjFrNqurYianRxLSiS+Jet3f37OZsv/U6Ny1W8j4G+jWp5PtyGNMxLOb1r268EBqhfk8zzxX/jlW2jdzV0MTVvca5fdNo7L5b8zrR1/fP3ZH+fCj5N1FGxru5qgp5NPmt2arqT/Y1X59Qdd9JO7boChnw39A6vviSrKlTQttMksSMXL+LK8Mk6zdsjJF74soy8ckYK4NruzmlwYvb1c0Lv/jssAmaYC7N/e+UU93SycSiTdw84cWIMTIK1/CCv7CgqugLmoAge/xALZZPa5GI7v10JEhklUV2OFCczqhzxBQshwslub+HlBIQ2r3F+uHm5Mu2EhwVWpuMfRNO1o6tqj527LgvwaMSz48JJ+hgUlzxw0yOi4dEOHzcWxpiCpnsmf2xji1g+NTpXHL73WTnRd5EjSYDqx5/by0FaAhYso2sugT7NQXOErlPkRlXdQ7zt1/PxnaFOo83prMRIN/r4J6qG5nuOo39aZHfoVRVxqnrXoq+acu4yE9/GKtpdeR5omaqj9escg0v+M/fe+69rNlfdU/haekX0cm+Os9ZUtXIhN8YtK9erZtMGQw9lViMrfyF8/kYa0RNGrerm7Y2Y+HQZJg3tpTP7zyP12+YzM2nv40kReutyaxlIU+QQ5yaSZIE1jSUQAXhYO+nJVuqUzpnvaRW17Jl7Jo1m/0LFnDo5z9n/4IF7Jo1m9onnqDqtoURQgbQFDInPaoaEutHCrEyIzjsVKxdxYpXjK2YJGvHdjrX093dFH9gGMnkxwQx6mCSbWZyLxkakQhr5Fj3pgbs8wYjyRLDp05n6OSpVG3byt6vv2LdW/+ImwysqiqqpxVfw64oS7bRfBgte/bUvRdzWvV5SIHvQQdROdgNJreXiZkm+pm1vx/JSCio/Fft5dw45CvuaHYiB+blUcYYCi1ZpQ/JSvsQi7xFc0VGQcIUR86ogNOeTnumsY++Ibs6+Okpxqv7SqggEZHwG4vG556j5a23dHMMwkNPdV1eKg66eNJlXPCH59G89cQXfP/+w9fE0SRLjM7fw4b9+rWWJrMWD2b+xML4J7T4v2CE937KsaTT0O7pc/gp4TyWo7HKcgLgrTdWdysVCDEjOKwYSfoN0hc7tsdjzB0EfcuPCV3PoIMp78oRZAyLFGhGjg1vogggyyYGjhlP/9Fj+PqDJXS2tcZMBpYkCSnDRtbch6mveIM/nraJdSNlJCT6W+1A7NdLRUJR1Ah7tl/IRPf2AfAB6zt8TIaYgqbIm8fIzhG8bHPyQ1criirjUYwle1rTviTDpN1pXQXkOEKmLt/MzmFZeCwmAy0IFP5Xup6B4y6irjOW6yny2OJ0eGj4IEZU78eoeTVejkF46Km7wM7fljXSYtFY+tCbXyCPpmxpArVsksTI32EeBr90eMKswfh7P33vbz3FII2En/TyW6puW3hiChZZ9j+vZPJuDgNphYlXoE4WEWYSHDaMJP2G0xc7tsVirP9MenoeQ4bcRm7umUkLGfCLDSMobdHOFKPuJ61xsmxizk0/BjDU6kDKyKVo/I9IK52IhISEyqWO+G6ZUwZez54uvz1bUmX6O4czofo8/zljVET5usMXN+Q0w3U6H2RM4T3zLGo8f6PVd1Xc+UCkc0nrCrFu7XX5ZjaX5eAJCK34LQhkGslnlW2aobmdr77Hf6c9wxfTx3FRcR4lv9LK/9Eh8HrVPvxI3Pod+79uYN4md8RxcQnk0awfkcG/a5tZ2dyK7zDd7Iz8HY5iGzZ3s/78VRW6fHHDhuHhJ62QkVa4qOK8WVTfe98xc7MHtMW03r5Y55Ak8n54beLHpXIeYePTSkrIPGNSYsf1AbEyIzhsGEn6BbDabJx/w619smM7HJNJS3Pg9Tpjjhs54oE+iRjw57u0LK40NFbLgm3Ulq03LphHs+QPT1LVsZPqjl1cfMr/0+yuLUkSaiC8s6eohjsnXIp06Mm41y4sOBdHu8Tg7ZuZsfdbZHcZC/95gEavSkG6/offN53n8E3nOaio+DBS6E7BRGPIuaSVEhzrHCqwc1jA+RV4fYzWPXmzrsXQuCms5Vsj/x9psv8j1TZnDvzuGarvvc9YTkVYjkF4QnA4u7+qY8mftzACuLxbYenETFozjb+X3x9r5f3yfQCUWtJ5aHh/5hc6DB9vBIdjMhZLCR5PLVpSRFXB2y5z7ur3+M/5V2s34ZQkMJvwTinE2+klfVsLprroXlbB98E7z75Oyaa3sDT3fNboJeX6auO30jgsBEOS4Y+BPC1rc3Fx4nVmAsfY5szBOmFCwsdpXsvAPJpeCCR6azy38MKQRwIhZgSHDaPJvOdcc2Ofu2PX138QV8icMvBGiosv6NN1Emlb0NvBFMSILVvv2CBDJ08lTZbpUlXyrf1j27QD4Z3HB99PqaOBrdq16iLweOpwNM5kzs7Eu6nXeRU6VciQID9NCgksFZXuLi+fdMBZtjQyJGIW/yNwFEgRzqVEviOqwIF+GXgskR+qRuuexL+A3/V0/oBpUblXtjlzyJk1i/Z162l+9VXaPvww7unaV6/WLDqmKCqfvVERejy6qpuRh1rYX5BGZXEan4/J7H2qmNR4urlhy17+OvbUlAoaSTJRXHRxTFdh1apiRlRu45vL/s6HM+bTlq3/Psdiovu0PNjYRHptB2Ma9pDnaaXJksPWgiGcWb2VW9a9HHWYz+lMrKLy4cCAYLHNmUPR7bfrFp3LmTVLc1+sY4Lvu0SP0zsm1j5N4RT23I4kQswIDhtGk3lz8owVMNOjp2WBPunpDoYNu6Nv10mwbUFvB1MQSZZwXDw0pijSOzZI1batdLg7QJIiqgTHwt3chmW40XBcIdXve/3zTfC2UOFRIZAxkiHBOKuJUrPEEqeXLvwCx2owcdNkz8Ax/1SsOb+Cjx6CA2sMz6Mm38z2EVn40qO/HRqtexKTQHXfa3iBhvr9qMPviFr1k0wmsqediSTLhsSMXkLwF+9X0u6MDG3KKpxa7+WUBi+bBltotcra4QCNmjTB79G3bdvP164OZuRmMyM3B1Oi4YRe1NUtZf+Bv+rv35RHS6W/oN6IynKG7d3GgdJT+c+c7+KxWHWTrOXhmbzwv/dQ7HaGdtVbbJjV4Hu012F9ehZx0FplUdWo1SCjgkUymXRX4/T2xTom2eOS2RdLOB1phJgRHDaCPZhitS5IRQ8mp3N93JYF3d1OnM71hhtHamE06VfOSif3smHapfwDtG+Ivdzt+uwgqldBzjFrNm4MX/UyatPuv9qKpd+Q2GEARcbbMpWKzwvpaNufsJBRUUPH5KdJjM+QMMvQ1K0QfOUyDJ4yY2YJ+fOGBZ57EWQar/GyaXQODQVm3Vh/ZN0TjQJ0BsijiWt4we/Q8RDz/ZV5xiTSSkrw1tbGzdfonRC8+6s61r+zV3e8rMLcDR38c0a2fjE9Hdp8Cs/sr+OZ/XU40kz8dtTApFdqjPRByxvRTvU6FVQpMHd/dWpPRoyVJUnCk23l0IBSiiucoc35HtfhS/pMIiwU66YeT3wczxwrz02IGcFh4Uj1YALjTqZEHE9aGE3ctV80JKaQ8XX56CyP7ejo3tdK074dAJjsZhwXR9q7pV09K0RGezaZOqHptR0Mveg+yrk5an/rwYnUfvUdvO48YH/M+UUT6DuERGm6xCSrKcI2myHDJXaZNp/CXoPV+rNHFkaKuEHTYMe7cY/beWqmX8gcRi5V/8G3WYQc1mgz1vtLMpkovvsuv0jpfaPsTVjRsaxzz4sIL+kxuqqby1e2JZxHE47T6+P6LXv5W5KhJyNfKtIzPWSXdNBW3RMWbc/MMXT+JnvkSm/KhUwKwkLHwk39ZEWIGUHKOVI9mIIYdTIZHaeH0cRdky32uJb39iR03fDGjRll+Xh2N5P+9kb6W/pxyHsIVTLWs8mPiucDD5wtgdRzQ209eDpVq36U0Lwi8V+zNF1icoybabZJZlxa7FUQFZU0e0ZUztDiwVdyAfcgBXpNRR8XyJEZqBGu6EVMa7YBxrA5QshA/PeXbc4ceObpqByD3qhIOO3D8Cg2ml9ZTbvTmPoL5tGU/HA4aYOyqfN0c99uAwlSvbhn50HmFdgTDjkZ/bKQlumNeJzVEaeIXoD8lhTlOUkSst2ObLH4V8qC80pBWEhw9BBiRpBSjlQPpnC6upvwf0/TK+Xtb1ngcCSezBpEVfy1GySrCdWtb5+Nl7gL4GuMdmYYoflfFfD2bhRXF5bhV3AW0OF1saHhA8M9m0AirdOBtXkk7jx/hVpFkaj96qpAqq2xG5gathITZIhFZnSG//uylqAKNsCMOE8v8RV83DtnaHG9kxu2H+JXA77DLQf/L8rRFDzrlvGTQNoXd/4ha3aihLc56Hlmht9fwRyD+t8/S+Nzz0XtryuYQMWwK/BkBFYh1htvOpmRlcY53x/F0NP9osqnqjx3sJ4aT3dCnbiru7yscbaFatsYxeiXBW9H5G1nQPVesttaaMuy6QtLVeUf513AaRXGku+h5z0RccbA+UsfuP+kDQudqIg6M4KUkkgPplRQV7eULVt+gr6Q8ZNsywLwO5hqHltHw1+3xBQyED9xF8CUn5HUPJQOb1TrBKsphxnFl1Fmn45JMrHbtdHQudI8dlRFor1uBA1bL8brzktYyAQpy5C52J7GOKuJNEmKuTKkZR0PxwuYT7VFhNR8qso9FVWowENDb+YPA65C6fXRpSDjm/ZjLGNmGnoORq3ZEYQl/AZXZdTA/yfy/pJMJrKmRdevqSuYwJYxN+KxOBKeWppZZsFjZ4WEDPiL7T00vL//mgmer67LG39QL4K2bF1U6GpLo60mMj9GVlVmrVwcGKMvu1ZNOIN7/ut2vVNHEPw0UHMiu3enFRfTP5CLFBQs9ovmkzV1ylFJWhWkDrEyI0gpRu3YyfZgCsdIwiHIjB3zu6RaFoBxK7bJbsFxcexcmSD2C4fQsSZ2boFRgqsd4/ISayLorStj9xffCuTHJHltJMoyZIZZUvOdaLPbxxiLhNyr1cAaZxvVnp4VioeG3syjg6/nh4feYpD7EPus/Xix36W8MXE0A1v/YehaDpwJzy884TeIBKSlOSgsnJ3QuYIJwd21dTjtQ/GY7VQMuzxw0sTDXt4uhdrdLfQfGSnSgv2d7qmoingN41FkTvzWUF//AT6fzqpj4E+0alVxKPk3nBGV5cz/4A0Wz/6O9vGBPKOVE87AbTJhDRQXVIBWcyZdcjqFnT01gRqsDl46/TL+8ufb8WzYcNSdNoLDjxAzgpRi1I6dbA+mcIwkHIKC2Rz/Wm2dbdy96m4Oth5kQM4AHp7+MFnmrLhWbCkzjbzvjiJjqCPuikwQk9lERlle3CRgo/Re3QiGcmKtkJxS+w0K01U2e31UdydWDTV8BWeoRT+slCgeRaXGKzHq1Mhv01qrBF7ZzF8GXBk1btqA71Ox6xHirdSNohyL6sYjWePO63z1PaawhlFsi8qTAfB6E3fKSSYTngV3s+YTV09IqY+0u7SrUgf7O61qbuPGrXtxemOvLpaa0zjTYczuH6S25j22lP9Yu6IhILWD6U0rLZ22qH2KJHGw9FQ2j5wUW8gF9j3/7e9z26KXQz3HfnfaFawpHRNVg+aPPziDtPQ00kS46KRAiBlBSulodSFJMqqqfzNJhR0bUudi+u6732VL45bQ4wpnBdPemMbo7FE82fKTmMeqHV4kWTIsZIIUXDOGhle2pkzQhBNcrYmXDJwhweRME+s7Ehc0+WkSp5hl5BSImCCdKmxx+5h4Zr+I7UZXCYrMaciymVMGXh+zaBvAG1yNB2PhvimsoYytMcck6pTb/VUdn6w1QYYjoeNikWWz6O4zSRJn5+Xw21EDuX7L3pjncSsqSxpaDDuaWpYtYVv7QrChHc9SgS4oWOclY5SXznRTSJjsHFwWv3BeLw4W+XsxNVgd/HncN1nVbxwAmwuHhcY4MtM5vyxGyEtwwiFyZgQpo2LtKt596tGYQgZSY8eG1LiYeguZcLa1bee6IffFPb9Ry3ZvCq4ZQ+kD08k8swTLcAfmEY6kzqOFFCd3JTgGYLzV+O+iNF1iji2Ns7LTOEWnoWSiqKpKh6LS6FVxq1BbGWnnb+r2xvygkoB+lvTQasLw4b/klIE3opcpspYzeZdLDUxMwexr6JXsq00iTrnIar6pEYPZuRZKhzvijptf6OBvY08lN03/d97i9XHDlr0srnfGPZ9r2TIqn12Iz+7TfyoSqHnQPUyl7FAgn05V2Tm4jP/M+a4/8TcBigYM5BczfsQP59wdEjK9cXZ0s64y9V8UBMcuYmVGkBKMuJgkWeain/wiJXZsiN8HJp7LpK2zTVfIgP+U1eZ6PsxZzaxW/YaDRi3bWpjMJvIuHR567N7SgPOd3RHF+WSbGbWzC8UTz3adOJIkkSHBPFsam9yxV2ji2a6TIRgS2xKWWF0RKChYOtzB+40t3LR1X1w3zoPD+0dYiYcP/yXZ2SMp3/bziHEKMi9yk8G8FImMpldpcSg4TPqHWCylcZ1MiqJSXeGk3eWho6UrqppvXOIU9jvryuHIBlcH5xc6OD/fxoSVW2j2Rn/xCEaKfl1RFWXRDu9CbcrPp/Z/HsY3MPaXlyA+uxpq1q5IEh/OmO9/kOB7+oKBw7ij0B13XF1rcq5BwfGJEDOClGDExaQqClZbYt/CYiFJJoYPu4ctW2/V2gvEdjHdvSpOZ+PAZ+wzpa9zTutUTBrrA0as2IlgHVvgryVT2YLS2hWqANz4yjLc26wG6sgkhzks5NQV6KvUqfqbRgYZF1jBSeX13YHQUriI2vrJIbZ+cogsh4X/TMhALdEXUDLw5zGDNEMiGRmlUdu2M5pWydjvK8/9KaezjnQpVpcAKa6TafdXdXz2RkXiAib8QjpYzCrn/nBchIvJCOtb2jWFTOiSwCFPd4RF27VsmWaNHJPN2PtBbpEo7+dPkD/Yb3BCoaUgc/NtDMiKVXqgh6Kc5FyDguMTIWYEKeFIupiC1NUtpWLXQ5r7LJYSRgz/dUwX08HWg4au023y8XXmTk7vGBW1z4gVO1EkWSJjqCNiW8ZIO80v/w7L+O8gWXscSKkSN8E8mzMyTRF5MG5FZa9HQZIw3E/JKJvdPvZ49G+o7U4Psz7x0Dwjm+0DtFe/FCAvXftjrPfKnZNMnuQXhud3mb2VczNiCBBTFuPKnoj5Hgt2uu4zOmpKbXdx6tjEHWlGrdf7y3cw/czTaf3wQ3/1Yg1hZd4lIbWBmoVuzozcDG3VVjqH+n9XRqv+hjM338bL44fgU1RK7RnUtHTqrMdCiT2DKYOTd+oJjj+EmBGkhCPpYgK/kNm85Rb0bNnDh98d1449IGcAFc74peIBHun/V26r+R4zWk8HjPVfShXOpUuovP/XZDS14a3eiKlgOJLFjpxdhHnUJbqF5xJFkqIrzWRIMDqBnBojqKo/NyaWkAlnzoZ2dvRLR9URU3o3ZkkyMWL4vWzecgs/5FW6yDAc0rDJChM6XgGd8JIKWNJyYlqye3e6NoqqqqR52+lf9Rn7T71Af86SRFe6ncrF6xh2aWKhW8PW60cfpsLVhOrx6K4Qub7piylkAOz/TKM5LT3kXGrILTR0+fE5VibmZHLfsH5YA5ZqkyxxyYRS/vxppe5x911cFtFOQ3DiI8SMICUcqaaSYKS+jERFxcMUFc6Nufz/8PSHmfaGfi5MOK2mDh7q/xfuqbqRGa2nx+2/lCo+f+035D34N3p8Kiq+hp2hR4rrEEy8Gmt6z5J9h6+VNCkNs2zt86pNqkNaWjkyMa8P2N0qpzR42VeUrjkm1o25qGgu18tv0KXKscsR9WJo69/Iz9SfowR0ddVoWrKD+TEHtzclHFpSUUGCf9nT+EZbPg4Dx7TVxu5/psWZjmxKLekxqwPLig9ndg6+GFV3O0730X5+bFEqtUHGJomvpkzgz5f/IDK8pJMLJAGllnTenzQiqq3Cki3VPB9DyNw0czDzxkaHGAUnNkLMCPrMkWwqCUbqy6h4PNVxa39kZ2QzJn8MWxtj224B/6erCn8u/idntk6I238pGerb6vn+ku/T3NlMbkYuN5XdQNHTfwtdXgt39Vd8cMBFgXUgVlM2bl8bDZ0H6Zc53GCvptSg1d5ACx+wIQkr+Km13WS7FdqsMvsL0lBlKXTDi1UTpaazk07VBBjtjB2o6esz1i+otyW7r/kxrZLKR9ZuKswqpTkFGKmQktZwkPa16xIqCGeSJB4cWsqN5fsCGb/Rr40iSdx/40Lk559i5sb1UftVSaXlqhguJvA7mXJg/VP38FvLGO3FnV6CJvhT76RuAJ+icv875TF16dubqvnFvNFiZeYkQ1izBX0i2FQyVvJvTn4Bl9x+d8pcTKnskv3aha9hMtrmQIL69Ga2Fe5LadIvwLTXp3Hem+dxqP0Qbp+bQ+2HWPTP/6agNfa9Yt3QfqgS1HceYH/7Nuo7D6Cihno1uQ3elPuCgooU+F880iQJaxLiamZ5J99a0841H7fy43edjDrod3tp3fDCOf+LRC3Q/nHlWddEtUzQItySHcyPSVTI9D+3H+9kdvF/WR6et3moMPtXOqpz+gVaKOigqlg6m5D/90n2L1jArlmzcS1bZuiarmXLGPmdb3Pv808j611DkgGVZ6+4Bl94GFNS8QxXcM33oRpIfVGQeTJrlL89aO/flcbvrtSSzl91Onevq2yiuiW2S6m6pVPYsk9CxMqMIGmORlNJSG2X7A11G/CpxkIeQTonW1Ka9Dvt9Wm0dbdFbc+N3hRCRaLZMZzWTBW9ardVHTs51FFBQcYArKZsLKZMJuYnVnbfCIm+EqXpEnsMlubRahZoc6tcvrKNoqsGxy3s1hKn2q02El2mAr7yjWaitFXXySSn59NeO4z6XTVYc8x8+n87owfGISvXwi67ynZz5DyHd8lc4jbrFdQN5a8M3/VPpMCr5K2t9SfpBnoP6eFatiyUzOvIyUWJtVoqydTnFbB52ChOq9iG+zSFliu8KAZT3xRklnIBtd4Yt5rAC3zmlx9z9fRpfHvaBF2BatRuLWzZJx9CzAiSJpGmkgPHjE/ZdVPZJbuuPbHKrQCtBV34FB+mFITM6tvqNYUMQLNO9KSuYALbR1yN15yN4nwBVKfu+VVU6jsPAP4Q0Cj7FKymnCMSetIjP00iMyuNjvbYjhrNrsdhj9vePcgOawbZjgxKhzs066zY00zUdycjaKBcmsxEjcq/wVBJ/RdXs23n10mdO8h7aZ2sW7EnYpukwnluf36Q/u9JYezWFyhq2BQ5MUmi9uFHyJk1KxRy0qoNE3wSjXZjqqTRnov7NIXmG403oFzPVF7hOsPdyQua63G++hzSmZNBZ7XUqN1a2LJPPkSYSZA0rU2Nhsal2o6dyi7Z9ub4vXl68/j6x5n75lw+2PdBwsf25vtLvq+7b3t/aLFGPtNgZ2VveqDWhvkcw9dSUdnQ+KH/5xi1SxLFaLft0HhJYtrsgQbOG3vVx93WzQcvbuOtp77ilbtXsfuraGG6/IzhGkcaY6U0E1XS/oj0dWXRUDE26XObstP4T6aHdd3RKwgDvDI2VY79ukom0r3t0dtVFW9NDR1ffAn4V2F2zZrN/gULOPTzn3Pghz/EW1sbGp7fYuxv09HmxHVl4J1o4Ne9nqk8zR00kW/o/ABZHa20NjZQtU0/h23K4DxK7Rmxig1TKmzZJyVCzAiSomLtKla8Erv/TZBU2bGNd8n+veEu2WUNgyjodiTkdAGo66jj9hW391nQNHdq30ym7FB49jkFu7vnj1RFomLYFf4HgW/sFuupCV0vmEvTrSRZwC0FmOwWRs49lXn/NRZLpvbicKJSq93pYcmft0QJmpKMjKTr47RKdrYzOmq7JEGapZ3MgsRt15MuHMTFC0/jlbxudpq1BXmWRldpLTxm/QKU7atX41qyhKrbFkYVuQtn3K7tFDY3xs7NAf553Sx8DsWQkFGQeYXr/A+MrACqKjmtTgZU7wVif/kJ2rJjvT+ELfvkRIgZQcIEk37drviW0FTZsSG1XbKDmCQTP6oNCIQE7qBB985j6x7DpyQXxgDI1eiYPGWHws/+pZDfK3fX6Rjm77AcUVPGWK2WcKo6drK3zYCD6zARLDQ4eEIhaWbt1bNkb0WfL6pAUSJ/kZXfmJC0oFnHmZQzRjMZ2JThTOhc2bkWplw0hKp0lUMu/ZyOdsnYG9HSpf/31/jcc1Td/rOY1YMBTKrKrYtexm870n4vSaqPAdl7Dc0J/FWWm6QCw0IG4LxV7yEHfo715UfYsgV6CDEjSAgjSb/hpMqODal1MQWxDLVzZusEcnzGSqSHo6JS01HDhroNCR8b5NV5r0Y8lhSVa5f7byq9bwVa38R9nk1R24zQ5jUe+lMD/wtHSXjtBJAg7+pRofo81RXO5Ev869DW7GHdu3uo2tEcIWoqvzGBjdNGUZhuIg0FyaAIXC5dyP9ID3Abf2I9UyP2+TodCc0t2D8pXnLqwTQFtxT9mocIuJgczl2xL6gYe44zN67n/uefokBjReQMdQ3PcDOX8aahc5066BZyT73H0FiAnLYWvrns74yoLPc/jvHlx6gt26ekLoQqOH4QYkaQEEaSfgGsNltK7diQWhdTaOwQB+W5lbSmtSe9HLCmek3SqzOF2YVkp/dk+o4+oP7/9s47Po7yzv/vma1aSavebMuyLOQiCzfcZMCUGGwwBgIJhARCEiCBQO4XnJBAChzhEiC5I1xyhJIc5UJCS4BgICbGYJor7rLci9zUbHWttG2e3x+rXe1q2+xasi37eeflmJ155plnZ7w7n/3WqOnY3SkRqqaKtqTOu6d9A5rQYsbO+EXMkQlP0WkOfdAdVVoiipyYCF/lZD9d7fqETKKPpnXv1kaMoym0Wtly3tm8MqksaixMNJrJ5nHuYS0zEQLcjiwcR/XF46RlWZj/nUrKpuTj1QRHO2K/77PcKtZYb1qB8j1/T7Q/Y0zmbFzLfS88GbJtmljF9/kN2cSPjdMwsMs0h02pN9NlHKXrnBd99g7f/ut/BYQMwNjZc6L++JFp2ZJYyGwmSULoDea98Ou3DaiQAV+vHbO5AJerIcoI/VlMgSNUha5y4DjKsTyz+Rn+sfsf3DvjXuaWJJ76vPKrK5n+4nR6vD1R07Ebcyexb9QV4RVTdTZN7I+Gxo62tYzLmBGxsJ5fpHjMrXQOX82rtvXUNVSQ7cmg2djGVttufnroNqo6JyF668zoOm9HX052qt0SY2QfDotCqjPxX9v+OBq/kPDT6E7cNYeigtB4ku9xFpeQ3pbDBYqKOcKy0rIsfOHr43F0uki1WwKZVkuq63hwcU3MB3JIJlOUa2pNNTHpZ9+k6eHwpo/Hw5HS0UHr8PJ1nu1dR2zWMov/45s0e3Jhmy9zLlauIUKQ3tnG1OpVAdeSn88Xv86w8nERvztkWrYkFlLMSBJCbzBverb+LAa9NDW9j4gauBq/S3YkhCZI26fAcXYm8AcEP3bhY0kJmrU3ruWhlQ+xdd9L4WuMEPjrx2CZhLfno6TWvLllOQDjMiLXmfWYW9l74d0AjFFT+FdqaMDrQ8XP8POD36aqc5Luc6rpffWGisozSc20RHU1CcBhhscXZlB8zEu6Q+OaLT0IR2JWsA/+bzsHtzeTmWej8sIR+vsS9UdRcZLCVmUKDINVXxKMOezi+s9Cs4rOu66cEeNDs2mWVNdxx4vr41qZ/JlMsejp8tA1ajpnLXufA7fehmPlyiTei4IhP59hjzyM91gz56UW0kTf52Yc28jRYZFZy0weV34Ytj160QTffQ2OkenPhy88Q9n0mWEWGpmWLYmFdDNJdKNpXjShYUmNXfZzIIN+/fgbS7o9rRH3G40ZnF35hO4sJj/OfW2MbxoVO6NJh1HgeAOC3699n/2LX+bOd8JPFinw14+qGjFYpsVcWSw2tyznb/v/k20swWNox6t00209wM4LvxMQMsWZ32fYltuxes1h0z1U/AxXj/k33spYzsaU7XhjpMwbMiwhlZNVVeH862O7amwuGFPn68tUPcpCyRdHxRwfCVe3h60fHeGzv+3mme8tx/tBHUWWyH2eEmXncDOvnOuLtwp2JwWjJ9bDj95Mpq52J4rBgGqzJbrkwL+jwp/+hLSqKs7LLKEJA4rwMl5UUyU+YQJb4k6jofIX478RK4m+/wMmXyUkRiYS0dKzZVq2JBbSMiPRhb//kp54mYEM+gV9KdkGQ0rMDsbR0DpcGFC5veHL/MfwPxKx5KriM/nHiw8JDgieXqjf1eXVvPzzuQf4weuRhUCsFFwAY8p5vYHA7gh7/b+F/f8djoaXzfs2UjdxGcOrmkKOrXHn8Kvtr9NYEnTf+10jl+rlyaJX+dnh2zCghnfx7h3uz2IKpnRSHpZUI84IBfT8K790fRc7h5koTDEzv2ok+9NSku5/JARsWXqI6QvzeSuFpOOkfAtUQAh2Drcw9Uv5ZKenYLWZ0DSBqiqBhpMbdx3DeNSFYgS/VlGEzwqTKhS6FMEho4ZQ9Gcy+V10KdPOoXPZsoSWbSwooOAn92G/9FKaXS6a3B6miVV8nWd1WWOgr7Jvkze2FUQDHiwbRr7FRL7ZSMbW9bwXQ8j4ieTOlt2yJbGQYkYSF38qdjzSc3K56OZvD3isjJ6UbD2NJSPhd3uc2zGFnx2+jf8u/AsdRkfYuEQCXZfuXwrA1PypuqoEr6/7nKvf8QUtRvoajpWCC6B5DhNZyPjxzxqtOL5PNjRtzqFoehOq0bdtk0PluWMOIPx6BJPryeT2hi9zbscU32z9LUgpRnKuLY/YZfz1zw9FFDLBK/N3zf75xaUYFIWyKfmUTsoLdKb+/J+1MdfXn23DTbyV4r9e/dYqBL6mlDqN1r3v9SvuZr77QhtpGqRmWiifns+utY0BwfUVLLQrGh/0nvfiblOIO6ld0VidISjpEXFjkNKyfHE4ANlf+xpNv/5NWAq2BtTm2nGYzdhcLmb/8tcoHZ0Y8/JCGlJ+ccOeQKBvf6JJ4EQr++ZbTHyxwOeePpilz00dyZ0t07IlsZBiRhITPanY1rR0rvj+jymecPaAWmT8DEZKth9LaQaGDDPeNhezOibxVMFrdAjHcf1if2nHS7y04yUKbAW6goI71q6mKEYAcmbrbsw9LTitmZEfciJCJdiIxGlvDBzdmkX+pBZM5gLeblKACNlSvSaTdG8q9x2+hYmOMRiieKy3eQWjrxgdUci809TKUzVH+KKOlV/d0c4lGX0uFVVVGD42i6LyTLatrNdtpdEU+MfM3nmipgP11lxJIOPJaTXw2y9lYevWWPRWC+veXeG7L0oqqnE4iqKSLhSucpgRQkN4DuEVjsD+dBS+0ALCcxiv6EJR0gLHga+ekOY5DKKLsTMq8ckVAxgNuL70RY4u/RcWt4fsrh62F2WzLy8z5P1t+8NvmLbwGi64YkHIuhudTu6MEujrt4wFS2B/Zd9ECI5RGj5+AmnZuTEtvNZ0e5ibWnbLlsRDihlJTPSkYvd0dqCq6qAIGRiclGw/iqqQubCMYy9uY6ttN0dNrQnPEQ09QcFezUt3w5GY8zTlTkRTTdF/rSuJ18iJhrdtLFOnfI9dPdC057boAxXoMHZhQI0qZAC6erws+eNW5qtKSCyJVwh+tusw5hR9gsG7ZzO/+tUnjB07lhtuuCGw3R93s+Tpal3z7M014jbFaqzov8bJPRAdKSqPLbRw559fC5ozDZPtIgzmcjyunXgcy0F0huw3mMfhdW0P226yXQSA2/FhYN9nL7/Lpn/lMu7cOWz/7GPf57OkAABV09CUCN2p8WUKAVxwo686rxBerlD+GdO1FDxLopV9FXwdsGdl9pUeUFUDF3/j2zEtvT0d7exZuzrEwptIWnZV2cAnH0hOfWQAsCQmJ6P/Un98jSVjoWCxFCWUkh1MSmUuaXOG02zUX7NFTypyvKDg92vf59JX5vLx5reizhHWi6kfllQjl393HmnZx5mO1UuavZisrFkc7dZXqyPeNevp/SndvzLvqtZO6pxuDuQaaUtRYsReC7xKD26z7zw7duzgpZdCM77KpuQz/zuVpGbGT/XeUqovHbxvAaLvTzx6H/AOWxqd5qAu8aITd9di3I6P8XS9HSpYevd7nZ9H3O7uWoy7a3HYvs7mo3y++PWwHxqaqsYUGp8vfh2Px0Vj43t8tmIO891/iv++gDe4lof5ue7Kvv4RD5UPD+uAXTZ9Jta02EkEH77wDFrQZ0amZUviMahi5t///d9RFCXkz7hx4wL7e3p6uPPOO8nJySEtLY1rr72WhobQGiIHDhxgwYIF2Gw28vPzueeee/B49HdulSTPyei/1B9fY8nvxR2XaEp2MEITdG9qItujr2bLnZPuJN+mzwoUrUrw+7Xv89LT/49/f6yebyyL/KCMlZLtn1sYvIyeUsDF3/h2YOvxMPniLwFwoP2ArvHRrpkQAocmOObxraezxUndrtbA/kaX7zMsVIV/TfUJtUgrV1BQMGB29v3a3rFjBy6XK2Rc2ZR8vv6r2Vx99xSmXBq9iaU7UVt08HXXK2gUhVevDLdqeZ3rEjz54LDmvV+xpfpOHa1BfGiorKaKGmWi7nMUWUz8qXIUC/Iyw/Yd3raVns7YhZ36ZzTJtGxJPAbdMjNhwgTq6uoCfz799NPAvrvvvpvFixfz2muv8dFHH3HkyBGuueaawH6v18uCBQtwuVysWLGCF154geeff577779/sJd9xnOy+i8FI4SXrTXhNSz6k0hjyUg497XhbXMxwXFW3KaThbZCbpt4G+9d+x7PznuWG8beEH1wEMFVgr2al9f/+KOI/ZeCTx0rJRt8D3pXuwgRCfGJbgMxmk2MnDiF92vf54lNT8SdJs+dxQTHWeG7eh/61d2h1qiudieaprFv3z66Dh0MbN8+wszfzk3DYSYiijBib63A3NMnaJYuXRo2TlUVehxudqyOVlQRio8m8UMoitsmFl22SJaHU6DMviLoVP6G3rWsZibf4VkOKqW6T/Fg2TDWVlVEFDKg34obPE6mZUviMehixmg0UlhYGPiTm+szh7e1tfG///u/PPbYY1x88cWcc845PPfcc6xYsYJVq1YB8K9//YuamhpefPFFJk+ezGWXXcZDDz3EE088EfbLTDJwnMz+S8E0N69E02Jn0gB0dFTT0rIKIZJrKeCvSmtA5cK23pot/b/re19fVnoZBtWAQTUwvXA6l4y6RNc5ntn8DPP+Po/3a99nzeFV3PBeNxA56NJPvJRsP52t3Sx77ukIM0Qi0n5fiOfld92DAB5Z80jsKXqvxXcavhQxXkYAax1e6tyhF7Gx7SCPP/44L7zwAu+tXBnSH2nHMBNeQ2R3k9+ll9ZeFjh3c3O4G2zPhkaWPF2Noy36d8P03U79bqOwhegXNKmO4ygpPYikFTowWLvDtmuo1DCBFZwXaKy5mpn8jntwkBZhpnAUYJjFxK3FeWGupZA16LTiBo8zqAoPLKyIWQpKpmWf2Qx6APCuXbsYNmwYVquVqqoqHn74YUaOHMm6detwu93MndsXGDlu3DhGjhzJypUrmTVrFitXruTss8+moKAgMGbevHnccccdbN26lSlTpkQ8p9PpxOnsy25o12FdkPSRSP+lS269a8BTsf3U1b+ha1ztgaeoPfAUFkshY8rvT9hK40/P9qKxPONz38YoKuOf+/7J/5v6/wIp11Pzp1JgK6DR0Rg3fdsfEHxV+1l8Vcez7qPKLvJ0VN5/+/3/ghZ9sU2RSM3K4QvfvJ3ymbNZW7+WBkd0ywYACtzUeEUgFbs/qqLg6ncptIxm3v/0YwD25haxtCK06vDIox7s3dGvn4KCQbNicmXgtrRhNBrRNA1V9YkpTRN88squqMf7MWpQtb2HleOs4a0hBoJekTRt0ycDO+/xogjSCh2kl3ZQwwRaySKTFsaxjXVMD0u1zhJH6aHXZXOcMTL90ZPRNFjWXsnpy6CKmZkzZ/L8888zduxY6urqePDBBzn//POprq6mvr4es9lMZmZmyDEFBQXU9/Ybqa+vDxEy/v3+fdF4+OGHefDBBwf2zZxBnMz+S8F4vXpTjn04nQ1sqb4z4UrA/vTsze7quNlM/YviGVQD9864l0XLF8UtrOevH9JyeK+udTnMKWg9GmoUA6pA0KVtxLB5u+7eSH6GVTWQYk9j6ozfMqKiL6W+ydEU58je490Rml4GYVEELnMrmupC0Ux0mHcAvoTiz8p6Yy+CHnpp3fr6JamaT3ju2LGDxx9/nPnz51NRUaG7A/foqbnMXe97iK4aayWk4O5AiJveQnorZlxKxZ5qjhSW0GVLJ9XRwfC6WlShHVedPj1oisKholGB806wbKZ4dj2b0s7hv/lpiGhJE+10Eu4SayEnoWuRbTLw67HFUV1LwejJaOpv7fWnZkdDAR5cXMMlFYXSOnOGMqhi5rLLLgv898SJE5k5cyYlJSW8+uqrpKSkDNp577vvPhYtWhR43d7eTnFx9KBASR+a5sWhU8wMRv+lYDIzpnP0aHhsRHQEQlP4/MOHKR1uJi0rh+HjJ8R1gfnTs5vf+kzXWfo/8OeWzOWxCx/jkTWPxLVqCARHrfFdpI25kxjZc0vMeYTQ8HQvJzEHn8CU6iGvsoWJE/+D/PzJgT3t7e188M4HoMO7FStYep/ayNbMHXgM4e+zLiOXLmv4Z79TZ4q2pvbN2d7ezquvvsp1112HsUtfrETZlHzsOSmw9CAXVnfzeZmFljQDLiNsLrWE15dJsN4MAIpCR3omT930I7pT+lw0aa52vnzkz4w7VM3RmizQ+uaNVKCuvyzW84jeWVrBsnMX0JnWd3+yxVGqxCe8w9Vh4wNCpr9wSVDUTUlL0SVk/JTPnM20hdew7u03EUHuRkVROeeKq8N+JMVLzRbI1OwznRNaZyYzM5MxY8awe/duLrnkElwuF62trSHWmYaGBgoLCwEoLCxkzZo1IXP4s538YyJhsViwWBJMwZQk1LLgRJiBi4tvYveeh9EbrNi6N53DnxXgdpjYxn8BYElN4ZLbvsfYqjlomtfnQmttIS0zK0zo6M1myrOFWyXmlszlouKL+MPGP/DMlujxRjN2aHxjaez340VhxxhfFlM0i4tAsKbwT0zeHq2qb+SjAEZd4GLC2b9nm9PKN/++gA53B2q7SmlrKdU5ceq1CMjz9AX+agjq1Va6cZKChR7h5ANTeF8dPw5z5M+lP0Xb3i2iRPUINMUdSNEOZsmSJXz58ptjr7uXVLuFMdcWMvOqMqqXH2Ly0W4yclMor7Lw+9V3+9wtQV1Hs2jGLcx0kpawqOm2hqbTd5rSeK7ku1xb8jIFs+thj4eUD9ox27P5l2ECOe5j5LhbGNZTh4qg05CKUXiwas6odzjYCtOSkc1n074QNqaZbN5Rrva9OE7REo33Wzr5xe7D3H/WcF3jd61eEah7E4wQWsTO2XpTrhvaHezb105nZydpaWmUlJQEXJGS05sTKmY6OzvZs2cPN910E+eccw4mk4lly5Zx7bXXAj7T8YEDB6iqqgKgqqqKX/7ylzQ2NpKf70uFXbp0KXa7nYqKihO59NMevS0L/AxW0G8wqmpmZPGtHDgYPz28dW86+5eGf5E6u7p5+/FH2bjsNVoPd4QItbTsXC7+xrc5a3oVzW/tIu+YmYlKHo22dhpynAjF10OnoNlCitNAt0WDEZlMzZ8KEFEczRo2iz9ufiboGC8N2b65ZuzQWPS6RnOqlSOZxkDFVn+l1eZUK90mI25LIS5TRkDIBFd/RUlFMRQhvHVkt8YPjg7GnKZx3teu5+joYcxfcg9acFNICxzLjxN30y/wd5/ayCrTTrqUPveOEsnE0IsGOMyRU2f9Kdpf+qwzatMFVZgwO3NwWUPX2d7ejtvUFrMDN4S2ATAaVSbPHRnY9+lnc5jOYc5hLdvF+LCYkse5J3ErTZhwUEEI/q7c4HuD5ZB91jG+5P4LV3S8x2Of344bGwbNzYjuwxT21DOjfUPU6SNZYSK6yhK1LCXJkwebuHd0EeY44kFPgkH/ztl6Uq5Hqs1sW/oKGx19NXnsdnvAFSk5vRlUMfPDH/6QhQsXUlJSwpEjR3jggQcwGAzccMMNZGRkcMstt7Bo0SKys7Ox2+1873vfo6qqilmzfP11Lr30UioqKrjpppv49a9/TX19PT/72c+48847peVlAEkke2mw+i9Fo7z8XgAOHPxfiNKRWWhQ+8Gw3leRf2ke2rI3bF9n81HeeuxXTD5/ATuqP6bb28HUehtgo8vqYW9RF6PrUknt6fuYmLansbdkNUCYFSstO5exs8/nuuUjSenuO1eX1cOacc1c+ZnG8vG59ASVd7e6PBS1dlCXmR60XUDbnyJWf+17j4KR/WqsRcenMMZcksuxshEsWn539KExfqineFOYdnQqKY4M9qoNfGAKt+JEa/q8N7eIz8omRnQx+dkxzES3WSGlf/QwfY0+09rLaLYcC1tn7ZZmPK7Y2WznXVeOGiWewu32uVZVNCoItSxNZzXf5zdhVpukYmz6jW8mi2dM3+P72b/hyUvupcGRy08//Tm1thIqOrcD4TEwI+r2s3vUeP5xaYSyAAMd0JwAAnj20FFuHxm7BpOeBAN/nZniCb74qhml2WTaTLQ63CgICtQOUnDTjYkGLZ2RagsXmvfg7Kfvg12RUtCc3gyqmDl06BA33HADx44dIy8vj/POO49Vq1aRl+cz0//2t79FVVWuvfZanE4n8+bN4w9/+EPgeIPBwNtvv80dd9xBVVUVqamp3HzzzfziF78YzGWfcejNXrrw67cy5bKFg26R6U95+b2UlS3i0KEXcTj209DwFh5vJ/6HdPtBG8Ib69dg7C/4jZ+8E7bN1mOgcl948IirrSOqBauz+Sjr3n6DlH7ns/UYuHBjHrsLwo/pMRl8fXT601v9NTKJphX7xE/1Gy38peee6JcjznNwWtM08nvyWW/aF68Rdwh7c4v4V7/sJSBMDIw86sEWQcj0LS80o8mPuSeHmiXRMxatqSYuvHFsSDuF/phMWTj7PwmDmM7qEKtNPYX8na8cf4yNooLQ+D++xWTW0WQr5LyLN/HhgfN5O3sh81qXsXz25SHWl9TONjRz72fwJIqXSKxq6+R2YouZZOrMLK2pp9XhZqTazEzTAVKVvsaqXcKIgcjuST9Llixh3Lhx0uV0GjOoYubll1+Oud9qtfLEE0/wxBPRC3SVlJTw7rvvDvTSJEHo/XKxZWadcCHjR1XNjBzp6wuTnX0uW6rvJNDtecvAB/z5LQH9Y1aibdczl+9FhJiFwUgRjrAKgJw6A/XDkqug7TQEuXB0Ljda9lKk18UefZP6M5oAEJDWflbMe2IwKZROip19NX3a3/n0s1kxb0V/q00xB8OsNel00IG+2KsAikozudzOs/QoqWAGzgIvdt4WXwkb3pWafsJcR4mSZoj//ZBonRmvJrj39S2MVJu5yLQnbJwNT9yPT3t7O7W1tZSW6i/+JxlayEaTZziJZC8NVsuCRMnPn8fZlU+wc9cvcDrr8ToHR2BFezgmmgYdOCaqReTE/bq+YGsurww7nNSxVm/ipeKjZS/158GyYVw2zMjiTzbGHRuc0WRyZWDQYrucu1pd1O1qZfjY6P9+LZY8UG3gdUQUNJG29bfWZNLCGHZwt3iCZrITFhw92CLvGIgYGKER6IMddHywNB+I+sRfKsiMO0Zv5+yisePZt28f63bXYe05ykyTr8VGsjHMnZ26/bKSIYgUM2cwp1r2UiLk588jL28ura1r6dzyN3Yf3X6ylzQkMHqSeRD64mVyexJvZhkte6k/+RYTI0ZkxgziFQg01RmS0RRipYlBV3v8GjTOkY/i2fM9bBEuUTSLTaQYm6/z7MAEDEfblii9QuYK3mQF54dYkoosZh4qH44mBLdtrT2u06SqKudnx8/r11NnpgOVx/7zP3H0+O7bfH23OSZpafoqGUuGJqemrVIy6Pizl/QIGTgx2UuJoigGsrJmcdkdD/VuOQV635zidFsSdDH1XtJJxybpt0gF3YYUV3wRAZBvNqKqCudfXx51jIJC0fi0EAtXsJUmFqn2+KIqz5bHT4/YuPeQgSY3ODXodMHutwrY+47+OlX+gOFs+rVcSKaFQjL0O082zXyf33ADL/Lf3MFPxf38ZqSTv08uC/RQWpifxe0jjq/z+u8qRsat/usnVudsd3omPcPLcHQPXAdsu91OSUnJgM0nOfWQlpkzkFM5eykZzOYUyqbNZM/nq/H3GRoIosVh+ONfEnI3iSgxM/59A+Rqirfmd86tS2i+FG8Kk45NYrhDX/0QIHD5/RlM8YYWWUzMyvT9ai6bks/kS4rZuPRgxPGNWz2YM/vSsxXNGDeGKTglOxb+1hQNjgZ+2VtgvPSIjQvqskERuDqNmFIjx2cI4fuX50+WGrSA4UgnDuns7bPCXCteopD6QHq52psJqKIxxdLMuaOnhXSZX9zYwjOH9P2w6U+hycAvdVb/9ePvnC0Ary0dYTSheNyojg6cBb0p8wPofp0/f74M/j3NkWLmDORUz15Khqvv+Tlv/uahXkFz/Pgf/v0flPH6L0WeTIT+t9Jvvt6Xx/vVHW1t/u1OoxdnghUN/BlMiRI1gylkYQKhKCH9fDRNsGttY8zD/OnZZmcO9rbo6bb+excrJTsYg2rg8tLLeW7rc4Ft3ZbedG+hsHnteM65cAua6BMtfpSgkCj/7VaVQQoYBhAaaXRixhUyXzbNfJ1nmU70z8GY8p+HCJl3mloTdjHdXVLAmFQr+WYjszLTdFtk/HS2tuBOz8RZMBJhCvIhedxgNCU0F/iEpC0lBZPJFNKLT9aZOXOQYuYMZChkLyXD1ff8HJerm49e+F8O7dhAa10Tmkdfz5/+KCaNA5lO8lotpLj7rkGX1cuaimYuGnER5o8P4mrt++JMz8ll7Ow5bP/sIzqb+wq7Wd0eKo74XtcMC60z4zF42T6yi7EHMzAnl2QUoCdFkO614onQUd5p9PLypYkH/oZkMOkkZgZTEDZnN5ce2cO88yvZt28fnZ2dOJsNcXssGTQrJmcGae2+KsSxrDJtGVtxWgohTrowgFfz8u6+0MzJhmwnPSYvJreBzxunsHrTDG4Y93eyra0x54r0tqMFDH9fPBG7F1IU68utPNVvvlbGsY1Rxd/iSN0OPJ7QNZpMWYwb+8uQvmVeIfjZrsT/XZyXlca5WZHdRHo42umgZ3hZ+A5D4o8k/+VZuHAh48aNo7a2VlYAPgORYuYMYyhmLyWC2ZzCJbfdBQRXNU7C9eQ2MLLJl13Sbfayd1gnBwu6A9V8X/C8i1LVVx3Yas/gtsu/iltVec18mNK1zXzlE0NIlV+AgrYumlOtOE2+CsC/v9JFpzWVyn36lyYQ9Jg01o5vxuo20G320m318v0r/x3TXjOvrX6RYbvrsboM9Ji9vHNuXcIWGT+DmcF08fb1FLYd5bHHHsPh8NV4sXTnYWd83GNN7sy4WUwKCkL16K4xsr5xfVhvreKGFA6ZzuKTwvPoNKZBI2xsnMB/XfAz0s2OhGN2IwUM3xwIGI6SRtWPbJq5STzLNHUbiuibz2IpYkz578nPn8dZZ91DS8tqWlpWAZCVNYusrJkhFhmAVa2d1DndYeeIxbAgt2AiaJpGbW0tHR0drNy0xbdxANorWGypXL1wQcD6ItOvz0ykmDmDGMrZS8lQPnM2Vy76Ce8/+zscrcmnZVpdKhX77QEh40coUJ/jsyIodLPo4x8AvrYFX1+ukdsRPpcC5HT1oAHN6bC92MB1Hxag6HRf+V1GK88+xoHC7pB9u9v20LyymU0jtrOquDu2foun7/plMNntdq666iocDgfHjh1j3bp1dHT0vcH09HQ8Hg/d3d26M5i6e8f5hQzoD+itqKigdm38ruqqZqa9vUlXjRF/A1E3JjryfoRmzMXr6GRrfujXZHnWPuyWxFpJxMIfMPwnbqezX5fPVDq5zvVnhpnrA9acvO4jvLbjGv7YeANPXqdydpGXvc1WjrnGsacjlZxcgUE1kJ09m+zs8Fg3rxCsau2k0eVhR1d32P5YKBDiFtRLTU0NS5YsCXEBJSNchIAuTNjOqmJyUQqTRhdSOkpaXyRSzJwxnIq9l04E5TNnUzZ9JtUrn2fvjj8jTMc4+OEw3F1GIj/Nw5/y/qJ3VVtyMHqbcVi94cKmV2TM2KHxg9dju7b8FT+en6syrtaONUbV2/743Vz9hQzAh59+yHDLcLqNiT2gwoiQwTR//nzKyvrcAnPmzAkz52/btp1XXn01av+l/tgiZDq5zW14VSeqZo5e50eB/Pw8aokvZvziaNu2bQAx3Q55tjyOFf4azVQYKGbYVe8GRQtZSYYlerXhZBACprGac5S11IgKtlGJEFBBNcs3zeTlxoWMydpDhqWdNqednS1liN5E1HvfNmExWqhvdwI+a0d2upn/uLKSy88uAkLFy15HDy/WNSdsjQHINhn4TYKBvuATMq+++mrC5wuLL+v9d7nGPZJHZ0+S3bElIShCnKh8wZNHe3s7GRkZtLW1YbfHr4NwuqFpXv545y26LTKnevZSsgjhpbV1LbvWrOaTZ5dyPJlPXVYPq/uJCkUTPPEHLzkdsWc9mgZ/n51GdltOSN+nWBwoVKgpqQsTUcGUtfnExp6M8CqpiZDi6ctgSiSA8s8bD/OLI0foSIkTwCkEqc5uvrb6XxFrQ5h7crC3+s4XKx7GkmrE2RU50Mhfk6Y5b03IzYj1fmat3Mr+7l7LkKKgNjsxrw3/zIzN2sWPpv8++vuLQqSENq03/rvTnUq6uU+cHevO5OUd17K+cVLi58E35y1XjCXNZuJPu+tpMYCWZT6uDCGrAvsvnBxzjN+V5Be5xcXF/O53vwu1yOilXzBwpzCz1l2MK30Yn/74Ygw6grolQx+9z29pmTkDOB2zl5LBX5dmxrxZZGaew3vP/ApXZ3JfiLYeAxetz+PDqU0BQTP+oIjoWurPXy9Io+xQYhlCbZnp1OfsjznmeEWMH38G04UXXsicOXN0mfDfaWrlnpYmsPb7SgkLXvU90c/dsyVqkSuX9RjtGTUxM5WAmEIGoNO+J0xVRms82OZ2s7/H3TveZ5VRjkWuc7KzpYzmHjtZlnbdMbsB0aKlkm7oEy0tPb2ipW0SY9J2kWkKt74kir+a75/e3hF4+2ZAWFTc4zPRCuLHM0WiR0B9Tw+F1siWt0iuJJvNFuJG1IUQKB4Xtt1b0HrTtj+1T6fGVIpA4cmFFVLISMKQYuY0R9O81FZv0jV2qGUvHQ9jZp6HveR7rHr/x3gcBtwOA0dWFuo+3u96mlGTzcGCwwgFsnSE5QigpC4nMIe+k6VTlz1wMRrxcBqdfPnLX2bCBH0xUyEZMXECOlOd3Zy7ZwuVjjZivSOhepJqGwEgFDcdGbsCtWgi0T8o+MbN/ghsBbWhG9O2VhRnlC7tqLy0/ct8d9L/6o3ZpaUnk5f2fplVE+Yyjm1kihbaOtPZ0VWOKDGhZZmpbszGtLF5QKokRZzDqWHa2Ix7UhaYDeD0gsWQkMXmks93seW8s8O2R3MlJSNkACwNB1EB1eH7deC0eCnITeGBhRXMryxKbE7JGYEUM6cxiQT8wtDMXjoeCgsvY/alKjt3/YKe7nqaNufEiKUJR0EhrcfI+L3pZHd5GHHUg6A75tHNqVZM3sQ+dh77NOoyXkjomIjo9KpZPVZstih9giKgNyPm4s1HqWpsZcEtlzJyZGz3g942Bf0RPgcTLkt0IQPhjQcP965fbejGtLE51qEArG+cxB823cK3JvyZFFNo0LJA4b39F7Hl6AQyLO209lpaXJNzEYqRbZztuw/23j+9aAUpeMrSMe3RYd5LAr/FxrSpJeSfgbCouMdl6BI4bR5v33qDspOWLFkyMGv0uLA0HMTU0Rqyfd60s7j769K1JImOFDOnKYkG/J4O2UvJ4O/x1FjzId6yl6neXEeisTQzdmQH/vvD8R7GHzlKUVtocKoAjqZaqc1LIKVVScNou5CPxn2CUE5AaFtQBlMiTfnqdQaTZnRZufxLcxg92udimz9/ftTAUL1ZTf1RUDAIKyZXBm5LW8yxwdlYwy0mjvS4MG1r7Z0nPusbJ7Gh8WzGZe2gatjnWI1OdrWMZtmBOWhBX63CasA9OUOXe8dblo7xYCe4xADVsQ4lqsWmv8AxK7grssLWnGH0WW4jZicli8eDpeEAqseNwdERug6g05DGpefOlEJGEhMpZk5DEmlX4Od0yV5KBkUxkD/+C5z9VirdF/6QA2vTcHclXoUUoMdkYENJAdQ2BARNfUYqW4fl4jTr/7gZrBfQkz6Kj0a/yb6czUmtJYx4qdr0ZTDpbcr3TlMr9+/WV3QtrTvUbVNRUcF1110X9lBUFEVXVlMs9Fh2lixZgtFopKKighcnljL+rXVRXUvREKhsaxnPtpbw2jieQitacVpigbeKT0SYNjbryZ73HZLQiiOcMmiuAC7hc0lNzg4RNEunlSefndQP0ft/27ozmdG+MbCW/hzOHsvMsuPrGyU5/ZFi5jREb8AvnN7ZS4mgqAq2SQWM3f4l0m74HzrrbbgdRg6vKMDbYyDi12ykgInelN5tw3IobOuiISOV9SUFCS4mHaN1Ch+e9SRHsnYm/Z4SOyeUdJQEMpj0NOV7p6mVW6v3x6+QIwR2h8bIox4+fXUXpZPyAu0FKioqwqq2OhwOXnvtNTrtu7G3VsTtvRQJPZYdh8MREgxsd7sZiNaG/uvhqcwEQ4QfCHH6dGkFKbgnZ/usRDHElV+EDEQ3sv7HB1xSW5px5g8DRSFFVcg3m/lrki6l/sHAXcLMGncxB0zZGO2tTO0VNP0Z17SOvWtXnvHfUZLYSDFzGqK3XcGsa66n6stfPWMtMsF0Vx+l8+PDpDON4VvuonHcX/AMb0E1CPYvHU7ER0a0X9uKQo/ZxMbiPJpys0DzRh4XBZPtQhRFZXhH2YkTM4BR830d6GnK5w/61SNkAC7d4EAV0NnipG5XK8PH9sVnqaoaVtBOURSWLFmCw3UQm0N/x2p/SrbbHNvFFMySJUsoHzOW6+1ejjcyKSBkSlJBVaNmcwX+O9K+XkHjzLdiqO3EtCO6KydapaRo+xJBAfCCeqwHY24KH4y0s3///qRcS3a7nX/7t3+j9sBBfvjXVdQ5oEFL98lUoTGma1f0NQAfvvAMZdNnyu8qSVSkmDnNSKRdwcjKSfLLARCaoPkffV+m6Y3TSGucSnfWDrKza+CS5RxeUZCw66ku256YkFHSMdkuxGAuT+g8A0WqJ5UxY8boqimjN+jX1qNx+ToH4w/3je1qj9/vqaKigjFjxvLCfZ/Sg75rGCslOxZbWgzMfvh9mqKkeieKZ1Qa1rHpTDYpbHATmrXV48W03Se03OMzQlPZe7wY6rrxDkvxbVcUhEXf59Nylp0OmwEsBnB5MW1qGbD+8aM37GCueT8vfAQpKcmldc+fPx+j0UijsLOhM7RWyLCeOtK9sQsgdhw7yuFtWymeELsLu+TMRYqZ04gzrV3BQOHc14boCH2QKajYWsaT0jKW9jmfknHDbjobbHgcxoTTuONhsExGNZWjGoejKH0WkcP23cc/ebDpJNqTrXdMWXsZO9t34vF4MBpjfzU0uvQ9+C/d2B0iZABS7fraHTTsaaenIzGrVntGTcyU7P7UerP40F0GbjchFyisu3ncy4dnTDrekjRQVbqAz3rfturWUA53oTb2oLa4AvOojT2+eBqLL4vIv8+4qz2w3e4VOuocg+mwA8ba0bJ919atKGFuqmQtNoroE1Td3YlVlw4uUujVBJ/tDv9usnn1pW/rtThLzkykmDlNOFPbFQwEWkf0+AoFlfztX+PIpP8hvcjhq6em4Uvj7jQeV0VVP6qpHIMp1JVishj44ZXf5dHPHwlrfpgIKd4UijuL2ZmxM/ITufcJN6ZtDGpvkba1a9dSVVUVc958ncHM6f2CftOyLBSVZ+o6Vo8FJxh/Y0m9aAJWu/3XPbYL0R9DEuXyhQXKhpzHpEJJGoYgIeOf09AS/m8vePtvvjqFh97ZRn1bT0yXXme3JyRg1++mUltcgXTrZC02BUpifc1sNhvz588nPT090D5iSXUdDy6uoa4tPCrJYdBXBuBMKx0hSQzZnes0IJHspfScXK5c9BMZTBeEmh478yW9cRrDNt2F0en7MlVUGD67ofcJd5wp00o6qnF42Ga308vo1om8d+17fGXsV3RPl2/NZ1bjLKY3TmdO3RwuO3gZZ7eczazGWYGYmP6MaRvD2S19hdBaWlrwal7W1q/l3b3vsrZ+Ld4gd5lXCDQBmcYYYlgI7F1eRh4NFRfnXVceCP6Nh14LTjCJ1Kdp0NJxYCHeo/28Y5+S7mpBiXKvYwmZAIqCZ0ImnsIUvFlmnW1FQVUVHlgY3+3nx7S9LSTAWMu2oBXZfH8X2nBPzka16v0R4wsvHmdMTExfccUVTJw4kdLS0oCQuePF9RGFDMARaxEdhtSY10RakiXxkJaZ0wDZruD4sJRmoKQbw1xNwQTH0XRl10DZYkZdcpgjHxXgciWXxg19wb6R8Gf+3DPtHl7d8Soa8dOG/2vyf/HmtjfDtg93DGfYgWE0WhupTavFq3jJceZwVvtZAYuMn00dm3js74+FWIQKbAXcO+NenLZp/GzX4djxMv2CfpOlqDyT1EwLXa36LTR669NoAuq0dF1jU73dfOPwyzgw8Xbh5TSn5NBjTcE7Ng2tIE23dU4zG9Am9dYk6vFg2taGoTF6/pQCPLi4hk9/fDFP3jiVn7yxheau6NddAejxuav87qZgvjU8lwWTM5j+5VTW7W+hsaOH92vqWby5nnC7k+/GVRrqMUb5yZuSkhLidorU98qrCR5cXBNTqAhF5ZOc87is8b2oVqOxs+fI7y1JTKSYGeLIdgXHj6IqZF9VzrEXt8UeFxxHM/xTMktbyBjVQecRG93VNo7U5uk+p8VoR7NcEDPYNzjz5+YJN/Pc1udizpljzcHgin5/FRQKegoo6ImcKi56//dXx1/DbLaNjka+u/qvtOf5OxVHf4DbHRqXbnCExcoAYanZsVBVhfOvL2fJ09VxxwKkZloYfc14jrY3kZuRy4YPNuB0OMPSumu9Wax2F/daZeLjj+mw4ea6+n8ggF2lFawo+gpN0bp+xsNiwD05GzY2RxU0Aqhr62HNvmbmVxbR7da4+5WN8ed2Ro4zWpCXwblZPgHn7zhtUhUWb66LOlWeGj1i50tf+hKqqoZ0Tu+fBbdmX3NUi0wwe1JHsyPvHMY1rYu4//PFrzOsfJy0KEuiIsXMEEa2Kxg4UipzyblxPM2v7kC4YltAguNoFAXSRzhIG+ag/v+y0JzxP1ITsy4kLeUc1nfHN1v440YWTVsEEFXQ5FhzWH79cvbt2xdxv1522XdFdD5rQGfW13p/wEd+gGcoKlcsa2XUUU9Ui0yk1OxYFOkcB4IPiv/KhpqPfS8PwYj0EcxwzAipUxMI+NU1pSDN28mwntCHfUq6nR9+8WpGz5jCqtZOGl0eGp1uHthzROdaCdQjco/LQG3sienoauzwiYFCe+QGj2FTO70hAcwKUGQxMSvTVwjR34agrb2Dn71xyH9U/1kAwWp3McVqC/21p91uD7iRIuHVBGv2NfPP6uhCKZi7Ligl/a1XiRWdI9OzJbGQYmaIItsVDDwplbkMq8ihe1cL3RsaES4vitVA9/qmsLH+OJrGcX/BY21BUaH4/Hpq3/fHv0SuAGKweMk/uwVtb8S6q2HYguJ5Fk1bxF2T7+LZLc/y521/xuV1UZRaxPPznic71ee+KCkpwW63J1ULpN3YTnVOZCuI2zIWzZgTcZ+fNqH5mgPGeVuJBPa++z/6rI7N1gY2pH0csu2Q7RBavsakY5OweW2xA3770+sqO//YZ6i990kg0KwGvvPU8xiNvvvit3R4heCpQ03UO92642FQFEgx4hmZiurSQjKagtl/1GcZmlGaTXa6mWMd4WOCMe1ox7i/E/f4TERvLM9D5cMxKEpIG4I6bzrN7nExroWCAwsNWjpFhtB+UbFqEcUK9o1GpbGZrc2xs9BkerYkFlLMDEFku4LBQ1EVbGOzsY3t67fUXZFL6+I9eNv64jEMGRZK5t5Ixjuz6FS34LG0kZ16GMfEVTRtjvTQ9z3iiufUc3T0yxhG/QvLPx/C6YkdsFr3Yg05XxlHSqWvnLvZaOb2Kbdz+5TbI45XVZXKykpWrFiR4DuHDlPkBocCBZdVXxBqZ0r8nIJEAns7m/UJH6M38nU8knqEI7Yj5Pbk4u0sw+Gcrmu+NG8n5x/7jLMcPkuX6I3m+OJ37w0ImWAMisJ/lA/n1ur9kdsDxMA7PrOvkk6EWJqX1x7gjovKWNvexYTpRXz8QW3ECJcQSdLbITt9Wh6PXjCGBXmZYW0IutEX6xU8LlJcTDD+YF+9718BCjOsFFs9bNUxXqZnS6IhxcwQRLYrOLGkVOZircjBua8NrcOFmm72BQ2rCoqqoL3oCxx2ZG1jeNVibPk9HPq0EG9P38fLlOph+OwGMkf7BIPX2kzu9D9xeOUdxLISrDnqQjy7lbO/NSHqGoLRNI3qan0xJv05ag3/N+VMmUZn1o1xrTJ+DJ42BNao7QdSdaZmezUv6xvX47I5oDW+CO+0xOh0rcDRlKO4XeFZY5GYpO3nvINLAhYZALM1hcu+uyjm52hBXiZ/qhwVP0A6FhFiaQ5ZYMpnWznm9YIJ1AitDiI5iQDSd3Uw/5oMNE0L62ydgr41ZllVrll4TUiqdST0BPtGWuMDCyuwK+HWz0hIV7kkGlLMDEFku4ITj6IqWMsyw7b7Y21aF+8hpWUsxp4sska3kFnaQWe9r8ie0eYhrdBBSNKSAukjNjDinBc5tO6mmOeu7vYy/O87Ud4yoLUHW4fMZC4sC1htAGpraxN2Mfkr5+6x7wnZ7kyZRnvuv+mcREP1tlCb9hLj+GZYPyX/OT4Y8VdGHOxmbsncqFO9X/s+j6zx1dcxDTPxrSO/AYgokPzz/nPcUzGXp2kqHkf8flMAoxs2hQgZAEtqGmXTZ8Y9dkFeJvNzM1jV2km90839uw/T7PYm5noKiqXR8q24J2f7hIz/vehsdQC+AOK3Vm4lw9kY9u+iQO3AhhMHZqK5RW24uPWqizi7Mr6LetXeYwm5lgozrDywsIL5lUVoWj5p2bkxf6Qpikr3QHTplpyWSDEzhNA0L4e3baX50AFd42W7ghNDsOWGYz9iZ+d9KIpC+rA4lU0VUNLr487fLaCp3U2uKTRLxdvm4tiL28j+6jjUVBNah4uWo4nVBPGLgZ32nRSmFXJZ6WU8v/V5BAqdWTf2rjNefIkGKKS1vIgS57Hd5mxj0fJFPHbhY1xUfBGfN3zOmro1oMD0gum0u9r54Uc/DKzLbXLTam4i05UXVSC1mptwm6JbGXoa5uNunkPcslpRAn4BOhOI1zAoSiCWxmpQE3c99cbSuEamIs6yRx2jt9XBG0s+YLQh3HKlKjDa0Ey1N1I1a99q776gWJeQWVJdx4//vkXXer5eVcJllUXMKM3G0GtZVFUDF3/j2zHjAIXQWPz4I1ypyjpZknCkmBkiJJq5JAN+Tyx+y01x2XVYGjPYuesXOJ3xhYq3J1PX/D0xnoTNL20PPCk9agvorxuHgkJhRSFXzLmCqflTMagGJuZN5GcbXqNJp2tJ9baQ1vIiVsc6zt3/QGDe/ucRCKr2f5H92Vt4cMWD/Dv/TpurryHkMzwTGBfMK+f8kuvX/ZRMV3jqe6u5iVfO+WXUtfmEzAXhO6I0eQwO+O1PMvEax+N6EuMzYw/QKWasIvJ5a71ZUYQMgMJt55dy22XxY6WWVNdx+4vrda0F4LLKokBqeDDlM2dzxd338s7jv0aI6BmFMqtJEgkpZoYAiWYugQz4PZnk588jL28uBw++wK7d0R+0AAZrq645rbGMI0HP3kItk1RhoQtn1FAcRVHIyclh8uTJzJo1K6wP09ySubRZpnDntoNx15XS9gapbW+gIChqP4s0V/SYBgWFdFcWhe2jOZIRue9UfyHj55VzfonJbeKy7beT5sym09LMP8c9FdMiIzRDr0UmwoXoZ23qH/AbiWTjNYJdT0mlcUdByzIjLCqKM3YpgU89pcxUDlJi6BNjejK73t5cx72XjQ9YT6Av5bqxo4f8dCvnlGRx7+v6LDL+YN8ZpdlRx9jS7TGFDMisJklkpJg5xUk0c0kG/J4aKIqB4uKbOXDwf3E6G4joZBBgy92FMaUZT3cm0dwgKQrkGPUVZ1NRmOUewzJT9AfMl7/85Zidsb1CcNSlr8Gj1bk94FqyuaO4RPqhd1x/3CY3b539+7DtCgoZ5gwsRktI1WJr16V06ujYUtm2hQuao1tkABRVpWjsuKTWDaGup7hp3P2tRlEXpeAen4lpY3PvPYh8jAMzH7rLuIg9AUHT18ohOnVtPfx26Q7OPSuPGaXZLK2pD0u5zrKZaHXotzg9sLAiRBz1R6/1S2Y1Sfojxcwpjt7MpZnXXE9J5SSGj58gLTKnCIpiYEz5/WypvhMiRU0ooCiCgikvc3jFHfhK04U/fCtTDCjJNLSMkr/rOtgBUbTMO02tOl0iglwj/OeMW/jRxz8EwGHSF5ypd5we/O6sB2Y/wEXFF7G+cT1NjibybHm8tcrCnw/Fty4ZTcaYQgZAaBp1O7YPiDXAn8Z9y5b9QAThovdeC4FmN5GrdNAlLPRE9S+GF8DTm5b9Px/u4X8+3ENmFNHSolPIpFmM/OeXJzK/sij2OJ3WL5nVJOmPbDR5CpNIq4KcESMpnjBRCplTjPz8eZxd+QQWS+QWAuDLaho++0lUc3jpeLMKis7YCAANwSrTTt+LyEVdWbriA7q2NIYd+05TK7dW748rZBR8IuLRcaXML72Uxy58jHxbPnX2PXSaW6K6igSCDnMLdf2yphJB7dfHqsBWwGMXPsbckrkYVAPTC6dz+ejLmV44nVE5abrmzNL0dYU+UL0JTdNnsYrHJVl2zJuORW09EJfeGJ+inYe5wryd84174xzQVwAP9Kdl+0nE+hKJr1eNjCtkAIaPn0Badm7MMWkyHlASAWmZOUWRrQpOH/wxNK2ta3E6G+nq2s3+2ifCxmmuNPqbU1warGlxMd1mYJg5/m+PerWVLiVGoTkFunCy7Y21jPdMx2D31avRFPjZrsO6Mm6KLCYeKh/OgrxMwBdj47eKbNeaaV8TPYV6xajXEUri3Sf9FpjfzPkNWdasgPXFH7QciXwd5f9VBcY16QteXfX6K1QvX8bF3zh+N+6fV+5HbejB0tCDlmUGiwFPrgUxPFXfBC4Nc00Lc9t8NYWciv4CeEJAmuIkQqm9QePcMn19y/RkNXmcTvasXS1d6ZIQpGXmFMQf8Cszl04fFMVAVtYsCguvJDs79EtYaAoNG77iHxnhaEGNqqLa+z2wIgztRl/F3K4eBy2v7ODoH7dQ/+gaPt6gL9vmwbJhrK2qCAgZPwbVQHZdCe1roj9UNxYtwzGiAbs5fsxMNAvMpaMuDbG+RBMyXk3wq3djNw4F+GKpEaOObuR+OpuP8tZjv2LX6sQrLAdT2+xL21cAQ4sLQ303xsNxUvl7UVxexn68lcpjtaQqbl8mt05Liz+zaa2nmBMlZDJtJmZFyF6KRvnM2Vy56CdY0yJ3Ne/p7BiQeyA5vZCWmVMM2arg9CczczoWS2EgMNhxtBxPd/QMD1Do6nSj3TqBXJMaqACsdblp/uv2kJEpOjtBB49ztblYuu4wnBX/2HyLCUOEmA5NE3zyyq4Y7wBmdl3Ck9f8go8OL+fu5XfHPE8iFphI6O3WfEFZFruW6Z42wPGmB5dk28K2qS0ucHnBpEaOm+l1Lc3d9Tll5tBaOPEL4Pn4xDOaVK+ToyKyUBgMHrnm7JhBv5Eomz4Tw3NPxxwjU7QlwUjLzClGoq0KrlwkC0gNNfyBwb2vdNeacbQ7sZZlYpuc7/t7Yh45N47HkNEX+FmoZZKKJXqFNgEWYaRQ853zg3wjCy9I5VkdQgYg3xz590/drla6WmNZhRRc7YLGPR3MLZnLby/8LRnmjLBRmZZMfnvhb3VbYKLh7zQdD29mAdb0xLOr/OnByXJT1aiwTtQKYNra6nshIt/AiQd3UXY0vKifqsBMkz/YObobrxvTgAsZBZ/1pSA99N9Qod3CUzdO1RUr05/D27bS1aKv8aREAtIyc8rgr+67U6fpVLYqGNr4A4N37vqF7lozmmEvEPpgiNQ36vLuHF7722tRQyKceKhVm9iXO4wfTY4fV0LvNEUWE7MyIwfV6u2E7R/nj7PpXwE4GeESifx0fe9rzbO/I7cjueyq5S8+y/jZc5h82RURm0/GwmxUue38Up7+OLSujaGxBzY24x6fAda+r2eLy8n5Ozdy1rFwIePP5C4xtHARe1jlLqY7qoVuYF1L/tkeueZsLqkoDKlBE1zhN1FkirYkUaSYOQVINNgXZKuC0wF/YPCe3f9N3epYtWYEqrkTbB/T0mIgM3M6itJ37/v3jRqv2bGarfQ4I1gnejOaVph28pfxpb3b4rUr8D0tHyofHtHFBPo7YQePM6gGZhbNZGZR/J5HiTKjNJuiDCv1bT1R7RRpng6yj+5M+hyNe3fTuHc3H734HNMWfpELbvxWQsffd7kvPz6SoFEbe7AVpNCpQLa7g6u6NkQ1owffkhJDCyY8/MudfE2ciOfAp437p2gH91cCIlb2TQaZoi1JFClmTjLJVPeVAb+nD4piICd3NgVT/rO31kxkc4rmSmP72moOj/gzFkshY8rvJz9/XsQ5a2tr6XH1RP8RrsDujHQarfq8zAU9gh8e8PCFYoHjcGPEjt1F5ZmkZlpiuprSdHbMHggMqsIDCyu4I1qZfSFiti5IDMHni18HSErQ/ODScTy9fA9/+mwvTrfGiEwLr95+HulWA1c9+ibp3Q2oCXxT9+isIZMIftEykNaXWPhTtGP9wDNZU+T3oCSAFDMnkWSCfUEG/J5uZGZOJ6e0nrrPu9BckVJzFUCjYcNXSBu2EaezgS3Vd3J25RMRBU1nZ/y6KQ6zPkvKLbudfHuPCwNw9E/Vge39O3arqsL515ez5OnqKDPBedeVow7Cgy8a8yuL+PacUv74yT60IM2iKjCpdWPM1gXJ8Pnbb3DuV25MyuX0vbnlfG9ueWBbTU0Nzy9Zwgx3u+5v6TXuYrqFiVahz8UWCwX4/twxjMq1hYmWgbK+xEJPira7p5tP/vpCwgJScnoiA4BPIokE+4IM+D1dURQDWeb7e+vMRHvYq3i6s3EcLccf4Llz10MIEV50LS0terE4DTickUuLTV8Q6PRmL5Fks79jd3e1/n+/J5ol1XU883GokAHQhGBDxmR220rjzqEoCXxFCsGm995NcJXh1NTU8Oqrr9LeHhrLEyUmGCGgU5jZ5i1gn5ZDi9BZqyYKigLfnlPK/5tbzlWTh1NVljMo1pd4aB5P3DHr3nkTj8d1AlYjOdUZMmLmiSeeYNSoUVitVmbOnMmaNWtO9pKOi0Sq+06edwXX3f8rbv2f/5VC5jTFrOork9+X+SRwOutobV0bNqakpAS7PTxDZ29uEX+ZOY/Fk89j/ajemIoYT8iCbo0pLbEr1La8tYee3S10bmik+pXY8SefvroLrb+yGCS8muDBxTVRnEi+B/MnOeeixQmIjdf0sD/7N29IaHx/NE1jyZIlEfcpSvjt8r9e4y5GDFBwrxDwzMf7WFIdHmw82Gial4NbN1PzyYcsefq/444XmjYgAlIy9BkSbqZXXnmFRYsW8dRTTzFz5kwef/xx5s2bx44dO8jPzz/Zy0uYRAN+x8ycLTvEnuboDaDtn/nU2Oh78AUHBauqyvz583n11VcD4/bmFvGvihnhE8aoZ/KD7c6IVplgtHZXwP10DlBhN7Kl20udO1xGdLY4qdvVyvCxgx+0GbfOjKLQaUzniLWIET3H38Haz/6N69i1ekXCPzo0TaO2tpZ9+/aFWWSC6X+7ujCzxl3MAS1WnaLkeHBxDZdUFJ4wq0wyiRAArQ31g7QiyVBiSFhmHnvsMW677Ta++c1vUlFRwVNPPYXNZuPZZ5892UtLGFndVxIJfwBtdDSMKc3YckML0x06/GfWb/gan62YQ2Pje1GOhM/KesWwjiaGBT2CX2/s4eLG+Gb+/lgVmG4zUGSKfB69KdzHi946Mw5DePG642Xx448k1MOppqaGxx9/nBdeeIGPP/5Y3zGefJa4xvJ358RBETICX9fsNfuaB3zuSCT6vRhMZkHhIKxIMtQ45cWMy+Vi3bp1zJ07N7BNVVXmzp3LypUrIx7jdDppb28P+XMqIKv7SqLhD6CNjAYo5E9+BUWN7DjxBwU3Nr6HpmksXrw4sK8uI5cua0pcIXNXSjp/rHHx1sddSQkZINDduzLFQI5RYbhJIcfYd169FqjjRW+dGZtXXwuBRBCaxr514e6/SESLj4nHAS2Les0e07U0EPYUvaLweEg2EQIARWHSvMsHdkGSIckp72Y6evQoXq+XgoLQrsMFBQVs37494jEPP/wwDz744IlYXkIkWt33opuPv6GdZOhQNiWf+d+p5JNXdvVLcfb95mjceD2KIkgfESkuw5fSvXPXQ7S3l9Ld3Q30Bvxmxu5C7GdCaTZXzBgdKMCnpJpoeW0nWntiAZaKomBT4Ly0vq+Xbk2wS1VPWGq2v85MLFdTtsnLcGfDoJx/+YvPUjZ9VswxseJjoiGEz7Xk734di8IMK1+ZXsxv34/eZiIeekVhoviLhHa2tuBobUnKIgNwzoKrE84ek5yenPJiJhnuu+8+Fi1aFHjd3t5OcXHxSVlL8If22KEDuo6R1X3PXMqm5CM0eO+P4SnOnu5MDq+4g+Gzn4wqaJzOOmoP+JoN7c0t4rOyiT6rjA7yzcawAnxcWcaxF+M3bIyHVYGzEThrjgXSuQcTg6pw5aSisIJ0wXy56iy+/8BrbPzn26x47a+4IxUZTBKnI3J6vD82prOzk87OzoQtMooCa1zRg30XTixkbkVhIJ0a4OW1B2MWD4xGUUbfHANJsrEx/SmbNpMLb7plgFYlGeqc8mImNzcXg8FAQ0PoL6iGhgYKCyP7Si0WCxbLiTFnxyLZD62s7nvmommCT1+L9ktaJbjeTDSXE6I1esBvBGK1KkipzCXnxvG0Lt6Dty35FFi/+6l18V6sFTkhBfcGA68meGtT7GyctzbV8aP545m28Boy8gsTLl4Zi8zCYWHbampqWLJkSdJub7vdzvz587HsJ2LtnNvOLw1UFQ7GXzzQX8VXL1dOKhrw4N9kioT2x2yzcemtdzH23DkDtCrJ6cApL2bMZjPnnHMOy5Yt4+qrrwZ8v26WLVvGXXfddXIXF4NkP7Qy4PfMJn7Dxr56M6n5kVOh0+zdrCzv/Teko1WBiNOqoH//p2TdTwDeNicdnx3GmG6OWEl4oNDTNdsf4FpVlkP5zNlcuegnA2IxALj6vvtDXvtjY5Lh/PPPZ/To0ZSUlKCqKhUV8INLx/HnlfupbXZQkm3jpqpRmI2RQyDnVxbx5I1T+fe3tlKfQAC2X+wdj6AJtkzb7Bl88HzsTtjRSLHbufDrt5GencPw8RPkjz1JGKe8mAFYtGgRN998M9OmTWPGjBk8/vjjdHV18c1vfvNkLy0ixxPQJgN+z2z0ZvvE6rS9pmMjHeZrdM2T6uzmkiN7uOyC2Kn/A+l+an+nz/XTv5LwQKE3cDV4XPnM2ZRNnxny8F3yh9/S2Ry7e3N/FFXFau0rXJdMbIwfu93ORRddhKqGChWzUeWW80frnmd+ZRHpVhNf+9Nq3ccEi71kGCh3EsAlt94l4wclMRkSYub666+nqamJ+++/n/r6eiZPnsySJUvCgoJPFRKt7Asy4FfiQ3+9mbawbRoq2xnPGmIHnvqZun8702q3o+Lr51RaGr8irp+Bcj/5Kwnn3Dh+QAWN3sDV/uNU1RBS0+nib3wnYQur0DQ2/HMxtsws0jKzcKekJu1amj9/fpiQSZajnYmnxSebzTQQ7iSQ34sS/QwJMQNw1113ndJuJT+JVPaddc31ZI8YSVpmljSdSgB9DRtVoyCzqIPWujF4ezIxWFupyc3m/9Rv0qzoFwTDW48GajPo6efUH7/7qWdvK8v/tJW2Tjfn2AxYlb4YGb20vLEbza1hsA+M6yleNpOCL9snXoBrsu6n5f/3J8AXoyKKz4K0TN3HQl98TEVFeAxMsiSTmZTMMceVag1c+PVbA0JQfi9K9DJkxMxQIFGz6sjKSbKyryQEPQ0bNY9Czd8ewuvuK7WvpSjkT7HRXAyKJhh51ENat0ZnisqBXCMiWBwIQaqzm6K2vn+nnZ2daJqWsBVAURVSzspizPVjWPJ0NVu6vUy3GRBCJCRotC43La/sAAbG9aQnm+mBhRW64kGC3U+11ZtY/forutbgTs/EWTASYdKXOjxv3jzS0tJIS0sLxMcMJH6BpzezKctm0p3NNFCp1uk5uUy5bKEUMJKEkWJmgEjUrCoDfSXRKJ4QP0YhWMgA2LsFX1rRxcpxXibUOsno7ntctaUo/GtqKjuGmRjZ5CatRzCufjeqrzQNAO+99x4rV65M2hpQNiWfyZcUs+n9g6x1eDk7xUBKksaVgXA9+ZtMRuPbc0qZX1mkez6/+2n4+AlsXb4s7sPanZ5Jz/Ay3fPb7XZmzpw54AImGIOqBDKb9NDW7dY1biBjY2TMoCRZTvkKwEMBWdlXMpCs/FviRc78uqFqew/27tDf3fZuwZc+62TRP1r5+vJOrlnVRcX+EWQ3zcTc0yucBHQ3KfzjhQ/57F8bEm4IuWdDIxuXHkQIqHML/tXu4dNOD593edjSrb+0fzCti/cikmhMGbvJpO9avbWpDm8Sc6uqgYu/8e2YYwTgLBjZezJ9im4gY2Ninqc3s8luib8uTcDH2xpjjjmeNgTBpOfkcuWin8jYGEnSSMvMACAr+0oGktam7qSOi/Z48tUXEaS4RMgoVTNjb63AYTuItacAg+YLPt74egu7PljB+deXUzYlH00TvpTxdiepdgtF5ZmoQe4ZTRN88kq4ADvm8YsFQXmKgUSjL5JN446Xlh3cdyiZTJ14cTReW7pu15LNauGKK68a0NiYeMyvLOJ/PthN9ZH4Qcn/tWwnF00ITbTwu5Q6mo+x/P/+mNQa0rJzmH/n3Tja2mRsjGRAkGImSWRlX8lgkZmXwqFtLQM6pxJB6igoCAQ2R3h17K5WJ0uermbyJcXsWtsYEpCcmmkJETqbPzgYpzYObO7yMCM18a+bZNK4k0nLTpT+adxdLc0s+/urCKMJr1mfbDM1HSFDuBg3bmzS60gWvS6k/uMGyqV08Te+Q0nl5OOaQyIJRoqZJJCVfSWDSdWXyqn++MgJOVckkRPMxqUHw7bFEjrRqHMLnLOKsG07lnQqt95YmmTTshPFH0dTU1PDx6s/p7skMVFidHTQ6ejg8LatJzwRYGxhOgdb4lsAxxb29YAaiHRraZmWDBZSzCSIrOwrGWzMZgOjJuawf3PkYm2hzqKTRyShE4tmo4HRP56Bc18b3jYnbe/sQ+vSZyEIJl5LhHhZO3rTsvUQtbKv6D1zpJgZIVA8LgyODgC2fLiUnatXkFlQyKR5l6OqhoDFp78LJtgiHLwv2nY//fc/9uWJTPzF+3Hf3+PXTwkcn2y6tUy1lpwIpJhJAFnZV3KiWPDdSbzzh026BU3wQ/tUEDqRWPP2PrKHp1I6KY+6Xa20TMjB89kRcoxKQmnc8WJp/Fk7t0fJ2hHoT8uORczKvoriEzRChAqaXpFjaTgYuE/bPvkwsHv5//0vJqsVd0+f1SQtOzcQdNzfIpyWncu4c+ew/bOPw7Zf/A2fBSSSJTktO5fSgqvY123qW28/Jg63s2PZ27Q21COElpRrSaZaS04UihAi8ZD+IUZ7ezsZGRm0tbVht9uTnufg1s28+oufJHSMNKtKjgeXy8vKv+2itamb7gwjm6fZWbGhgUvXd4WlX28tsVC13RcHEvpo8o87+TLHmmrEYDKEuKZSDAqVFpVh5uSyeSLF0iyprosqZgCeunFqQqnZ/dE0jdWrV/Pee+8ldJzidmJpOIipozXpcyfCtIXX8Pni16Puf6XoizRaCsIEV7Gxiy/u+QtCaFGP1YPMUJIcL3qf31LMJMC2zz7i3d/9Ju44WdlXMpC809TKz3Ydps7Z55KJVhhv3CFXmNBRzR1orjR8oiZYMGj0CZyTL3QuvGQEJgHNK+qwKiRssfHH0ng1wXmPfhC3+u+nP744KetMot2vTU1HMLh6UDxuDI6OE3qlFVVFaLEFSQ9GluZ9gXaTHbu7nUualmHFc1znlT/iJAOF3ue3dDMlQFpmlq5xsrKvZKB4p6mVW6v3h8V+CFWhNt8UNn7HCDMdpTbeyBtGT5uTTueHNDvvp/PIZBo2fAVPd1+ciDGlFfvINTTvmIdAhAQDi6AzxgsSHig+ev8QwT+trAqcnWJgmFlFCMExj6BHEFXo+GNpBjM1O5nu1xcsuJKti/9GZ3tHQscNBPGEDIAVDwubErMwRUJ2tpacTKSYSYDh4yeQlp0b03csA30lA4VXCH6267Cu0vPQZ1v5xdgRjMzLBKC+Po2WGkH6iA2kDduI42h5oJ+TLXcXiipIydnLkc9vQrj6Mlc01UmPtTFi2vZg0d9G3CNgrcNLmUdw2K3RE0Xo+PHH0hxq1icaEk3NTqb7td1uZ/b8y5k9/7JAAO7OlZ+we+2qhOYZCsjO1pKTiRQzCeCv/hkrm0kG+koGilWtnSGupXgUWUw8VD6cBb1CBsBiyQ/8t6IKUvN3hh2XPmIDY4ZtpK3ubI7UTqG9Kx23uQ0U8Jg7SGs/K1BQDyAty8JZ0/ITzmZKlj2ucOuCX+hMEwKLqgQsNuLtvVgUfRWHE03Nrq2tTbj7dXBlX7+11tHaclqJGelSkpwKSDGTINGqf8oPtGSg8ArBqtZO3mlq0zX+W8NzWZCXwazMNAz9XC+ZmdOxWApxOhsgho1HUQUZwzaTMWwz22ou4NgxXzl+l/UYzZZjmFwZqJqZOV+YTdXcyaiqQuHoDD55ZZeuOjODxefdoULHqsCEFJU8s0JTlPebbGp2Ip3FY3W9njTvcj7687PHHVyrBz0xM8kw6dLLGT5ugowLlJwySDGTBP2rf8oPtGSgiBTsG48FeRmcm5UecZ+iGBhTfj9bqu/E39ggGv5s4tFlazl2bASBYGEF3BafsFpd/SFVcycBCmVT8imdlMfn/9zH2sX7Y64xNdOMx63h7Dq+wNJ49AhY59Cowshb5ujXMJHUbE3TqK2tpampSdf4efPmxWwaaTSaOeeKq2NmGQ0U5ywY+PMoqsqFN9+K0aivZYNEciKQYiZJ/NU/JZKBIlqwbzQUfK6lWZlpMcfl58/j7Mon2LnrFzid9bHnVMBqdZCR0UhbW2HY/vb2dmprayktLQVAVRVyhqVhSTWGCRWTVWX8ucMYPTGPovJM9m1qYsnT1TrfXfIIBEXdKqoRhntVUoVClyI4ZNQQCsytyNedlp1o5pLe7tcX3PgtANa9/WaohUZRMFlC68z4rb4QXmcmPSeXsbPD68wEW4qHlY9L6Lj80jL2fL466trPWXC1FDKSUw6Zmi2RnAJ4hWDayhrdFhm/TeFPlaNCYmRiIYSXvXv/m/21T8Qdu33beTQ1lUbcN2fOHC688EJUVWXPhsaYAmX+dyopm9IXt7NnQ2OYa8pvERpoHIrAJvqsL+2KxgcpbvZYNLY/dBlmY2zBkUzm0nXXXZdQ00iPx8Wm996ltaH+hFYAjnfcRy8+Gya0FFXlnAVXB4SYRHIikHVmgpBiRnKq81lLB9du3KN7/LAIwb56aGlZxfoNX4s77kBtJa2tRbS15RNam8aH3W5n3rz5rP1zS8yYmbQsCzf9cnZYl+3gLtzdnW7e++PAW2yipZv/I8XFNePy+cLU4RG7gPvWqPH4448nZJGJFiMzVIkktKRFRnKikWImCClmJKcqwcG+zx6OXy4+VrCvHoTw8tmKOVEDgvtX33c6bezZPT0QENwfe0sFFmfsLtZX3z2F4WNj12iKZLEZjKwp0Stp1CCRE9wFHBKr7nv++eczevRoSkpK4rqWJBJJ4siieRLJKc5AB/vqIV5AcH99ZDY7GF/xUUiGUzCd9j2Ym3JiFtbrao+f7eQPJg622PgtJpGyppJ1TSkRVurvAj7/O5U4LUcTipHJz88PxA9JJJKThxQzEslJYLCCffWQaEBwxAynXjSDE7e5DbMrM+ocqXZL1H3BqKoS0YITSegMhmvqgxe30mjeiKpZMKkZgVo7sUhLO/77IZFIjh8pZiSSE0yylX0fKh+elGspEvn588jLm0tr61qam1fEDAqOl+Gkqa6ox6Zl+Swsx0skoaOolWEWG2uKgZ5ufUXz+uPqEmR2TQq89qpOOu27cVkjdy632+2UlJQkdS6JRDKwSDEjkZxgBqKy70CgKAaysmbhdDbqGm82OyLPo4X3iPJz3nXlYcG1A0Uki01BWQYv/mwlna09x91TStXM2FsraM+oQageVM2MproCFpvg6r4SieTkIsWMRHKCaXTpKxx3vMG+eglueRCL0WWfo2nGsNiZjoxtiPZyrM68kO3WVBOlk0K3DTSRLDbnX1/emy4uOJ5u4AoKAoG9rSI0K8ro4uxL80+rzCWJZKgjf1ZIJCeYfLO+3xD+YN/BFDLQ1/Ig3oPfZHIyvuIjcnIOhGwXBg8dmdvoTNsbsr2ny03drtYBXm18yqbkM/87lajW0IrcWiCXST9KhJBhxWOm+t1W9mzQZ9GSSCSDjxQzEskJZlZmGkUWU1TpoOCrIzMQwb568Gc4xR/n+3t02VogvN9Pd+ohui2NuMyt9Fh9f3e0dYeNOxGUTcln0p2VvJzqZLHNFfgbSFjQROPTV3fh8Wgc3tHCzrX1HN7Rgqad9pUuJJJTEllnRiI5CfizmSA0OTqZyr4DRWPje2zf8VPc7pa4YzdvuiRiMHB/z05qShoLFl5+UlwyXk1w3qMfUN/WE7jG5S6Vi7tN2MXA/I6zppno6eyLf+pfs0YikRwfep/f0jIjkZwEFuRl8qfKURRaQoNniyymkyJkwJfhVF7+c11jzeYoFpd+5qau7k5effVVampqjnN1iWNQFR5YGCqidpk1nrE7A5aaV2xOOhQtaWtNsJCBvpo10gUlkZxYZACwRHKSWJCXyfzcDFa1dtLo8pBvNg56sG88rJYCXeNcrpSE5v3nP/+J1Wqlq6uLtLS0E1Yxd35lEU/eOJWfvLGF5i6f8BAKHDT1ucmW4eYqhzms/cHx8MkrOzGnGOnucEVtmSCRSAYO6WaSSCQB9LQ7cLvNbN82h7a2ApI17p7oXkZvbDjM3a9sjLo/svvp+LKhgpHuJ4kkOaSbSSKRJExoMHD4g1xRwGx2MXHS+8yY+UZYZpNe2tvbT6j7ydkSu9Kx3/20J2MX7RnbaM3aRFlqz4CdX7qfJJLBRYoZiUQSgr/dgSWOy8nftylZQQOwZMkSPB4P+/btY8uWLezbtw9NC8+UOh40TePQho+w4SSStcmHwKS46TR30m1pwmzuocKUznSbAWv/flXHsZZPXtnJwe3NMvtJIhlgpJtJIpFERAgvLS2r2VJ9Fx5PW5Qxvs7aa1d/EVCT8srYbDYcjr7qwgPtgtq3bx8vvPACtd4sPnSX9W4NXmioO8mGk1sVheuErxu4EIJjHkGPAKsC2QZ4v0uj23v8X53S/SSRxEa6mSQSyXGhKAYURY0qZHxjfH2bigy9AcFJPN+DhQz0uaCWL18+INaazs5OAEoMLVxk2oON6L2kAByY+Z0w8xG+gGFFUcg1qYwwq+SaVFRVpdIyMF+d0v0kkQwMMptJIpFERW/fpoysI3TtPpdO+140Q2yxoJfly5cH/jsZa42madTW1tLU1BTYVmJooVhtod6bznLPWbgwEG5O8r3+b3o4DyOGCOamYWaV6cCWbi89A2DbltlPEsnxId1MEokkKi0tq1i/4Wu6xrodWTRsuJ7u7nHM/koJqamp/OMf/6C9vX3A1nPdddfpEjQ1NTUsWbIk6rnrvOm85x4Xd57fYWNqjN98wS6ovEtG8slHR0K6eCeLdD9JJD6km0kikRw3evs2ARhTWhg++ylmX9XNxIkTKSsrY/78+QO6Hj0BwzU1Nbz66qsxRVQ30Tt9B3Msjt8s2AVl29jEeV8u1zVvPKT7SSJJDOlmkkgkUfGnam+pvhMh+vozRR7r+7vd8zuEuBZFMVBRUcF1110XZiXpH/Srl/b2dh577LGoAcOaprFkyZK486TgjjsGICeBiGZvm5MRmWbmf6eST17ZNSAWmk9f3UXppDzpcpJI4iDFjEQiiUl+/jyGZz/K/kMPY7LF79vkdNbR2rqWrKxZAFRUVDBu3Dhqa2vp7OwkLS2N4uJifve73yXlgooWMHzdddeRkpKia84vXTCJ9Su9HO3yRLW9qAp0WFVIoFdmd/VRhlfmctN/VFG/p42udie2NDPvv7AtKXHT2eJk8wcHsWWYZSyNRBIDGTMjkUjisnNtPUufrSa34i1yJ7wTd/yEit9SWHhlzDF+d9BAkZqaSn5+Pvv27Ys79tprr+WwkssdL66P6UhSgP+eO44LvAY6Pjyoey2GDDOZC8tIqfSld+/Z0MiSp6t1Hx8NGUsjOdOQMTMSiWTASLVbQKg4GsfrGm+xxH/Y+l1QA/UDo6urS5eQAUhLS2N+ZRFPfHUK8QwdD6/dT+oXRmLI0F8uz9vm4tiL2+iuPgpA2ZR85n+nktRMi+45IiFjaSSSyEg3k0QiiUtReSapmRa6jpbjdmRhTGmJGj9jNGYihIYQXhTFEHPe/i6oY8eOhaRkDwZ2u52SkhIAslItxCrCK4C6th7W1rYweWEZx17cltC5WhfvxVqRg6IqlE3Jp3RSHnW7Wo/b/SRTuSWSUKSYkUgkcVFVhfOvL2fJ09U0bPgKw2c/GTUg2ONpZcPGm7BYChlTfj/5+fPizK1SWloaeJ2fnz9gAcORmD9/fqBjd2OHvv5LjR09pEweTs6N42ldvAdvm75aOt42J859bVjLMgHfdRw+Niuw339NE6Wr1cVbj28MvE7G/eTVBGv2NdPY0UN+upUZpdkYVCXq9ljHJLsv1jESSSIMmpgZNWoUtbW1Idsefvhh7r333sDrzZs3c+edd7J27Vry8vL43ve+x49+9KOQY1577TV+/vOfs3//fsrLy3n00Ue5/PLLB2vZEokkBpZUI52Hp3J4xR0UTHk5ZkCw09nAluo7ObvyibiCJpiBDhj2E6nwXn66Vdex/nEplblYK3Jw7muju/ooXSvr4h6rdUQXPn730/FmP/ndTzmXDqNkUl5csbCkuo4HF9dQ19Yn5ooyrFw5qYi3NtWFbX9goe+aRTom2X2xzjW/sgiQIkiin0ELAB41ahS33HILt912W2Bbeno6qampgC+oZ8yYMcydO5f77ruPLVu28K1vfYvHH3+cb3/72wCsWLGCOXPm8PDDD3PFFVfw17/+lUcffZT169dTWVmpey0yAFgiOT4iBrAqGrbcHQyb/TRGS1eUIxUslkLOnf1RXJdTPI4nYHjYsGHceuutAYuMH68mOO/RD6hv64kaCJyZYuKJr01l1uickAdmz55Wjv5xS9xz5952dsAyEw1NEwH3k6PNxWd/2x133v4IBB2K4Bm7k8LM6GLhyklFPPPxPt2dJxSid6lIdl+scwE8eeNUIDkRJIXO6YXe5/egipnvf//7fP/734+4/8knn+SnP/0p9fX1mM2+wLp7772XN998k+3btwNw/fXX09XVxdtvvx04btasWUyePJmnnnpK91qkmJFIkkfTBP/3kxURLQe2vB2MvOg/484xdcpfAqnax0O8yr7RmD59OgsWLIi4b0l1HXe8uB6I/fDtbzUQmqD+0TUxXU6GDAuFP56OovNh6tUEq/ccY/NTNXi7PLqO6c8HVhddKnQpgkNGDTHEnuMKkGEz0eZwJyS4AL49pzSq0LmkolCKnCHIKSFmenp6cLvdjBw5kq9+9avcfffdGI0+z9bXv/512tvbefPNNwPHfPjhh1x88cU0NzeTlZXFyJEjWbRoUYggeuCBB3jzzTfZtGlT1HM7nU6czr4v3vb2doqLi6WYkUiS4PCOFt787YaI+9KLVzO86k9x56gY/18UFV09IOvx91zq7OzEbDbz0ksvxT3mJz/5SeBHUyQiuV36E2w18Aua7uqjMYOCc24cH0jP9qPH9VPuUrnKYe49b/IP3HZF44MUN7vMyTfqHOr4LUSZNhOtjr5iidKaMzTQK2YGLWbm3/7t35g6dSrZ2dmsWLGC++67j7q6Oh577DEA6uvrQ4L+AAoKCgL7srKyqK+vD2wLHlNfXx/z3A8//DAPPvjgAL4bieTMpas9eiyHtydT1xy7dv8SgyElodiZaPQPGB47diw7duyIOn7s2LExhQzA/MoiLqkoZNWeY9z51/W0dodXCBb4HowPLq7hkopCDKpCSmVuxKBgQ4aF9AWlbExRaNx4OPCAXFpTH9V1Euz62WXW+AcuLu42YT8O00q6ULjKYeYfuM5YQeO/psFCBqC+rYc7Xlwf05ojhc7QISExc++99/Loo4/GHLNt2zbGjRvHokWLAtsmTpyI2WzmO9/5Dg8//DAWy/HVWojHfffdF3J+v2VGIpEkTqo9+ufVoSNVG8DtbkkqGFgPN9xwAy+99FJEQTN27FhuuOEGXfMYVAVVVSIKGT/+VO01+5qpKssBQoOCtQ4XarqZD7u6+cU7m0MekP0tA37q2np4+uPw+ji7zBq7TU5GeFRShYIDweXdJtKEEtFaIxBh2xUUBIKLu03sNjmHnMtpMPGLnEjXXq/QkZw6JCRmfvCDH/CNb3wj5pjRo0dH3D5z5kw8Hg/79+9n7NixFBYW0tDQEDLG/7qwsDDwd6Qx/v3RsFgsgy6YJJIzhUCNmUjZNkINpGrHxmfX2LnrIfLy5h53MHB/brjhBlwuF0uXLqW5uZns7GwuueSSuBaZ/iSSqg0RXEYT81haU893/xpeWTiSkImHUOCgqc+isgw3VznMUYVLJBQU7EJhdo+RA0ZtSMbRnGj0CJ0nb5wq43BOIRISM3l5eeTl5SV1oo0bN6KqKvn5vjoIVVVV/PSnP8XtdmMy+TrYLl26lLFjx5KVlRUYs2zZspCYmaVLl1JVVZXUGiQSSeIE15iJROfhqeSnPUyr69e43bF6N4mwvk0Didlsjhrkqxe9qdq7GzsjxtkU2i30eLSEs3j0cjzup9lOE7OdfXE0u8361hmcldQ/QynZffHOlZlgAPCJxO9uvPf1Lfz7WzXUt8tg41OBQQkAXrlyJatXr+aiiy4iPT2dlStXcvfdd3PZZZfxwgsvANDW1sbYsWO59NJL+fGPf0x1dTXf+ta3+O1vfxuSmn3BBRfwyCOPsGDBAl5++WV+9atfydRsieQksGdDY1g9lLQsC+dd5yvWVlf/D2pqFsWYwYeevk0nCz2p2qcCioBij0qeyQg9Xi7u0W+BEr2P44/zBGvcp2adGUBXhtmphp5gY0linNRspvXr1/Pd736X7du343Q6KS0t5aabbmLRokUh7p/gonm5ubl873vf48c//nHIXK+99ho/+9nPAkXzfv3rXydcNE+KGYlkYAiuh9K/jH5LyyrWb/ha3DkGKk17sFhSXcftvQ/SU5XgzCqhCbY8vQ2bN7HMp9QsC2O+NZamLucpWQE40cJ+/iBqOPUEUPD9klabxDjpqdmnElLMSCSDjxBePlsxB6ezgWiPE5Mpm/PO/QxVTSyW5UTz3+/v5Lfv7zrh543mqon3S3/Xukb+9cfE2yKc+6WzsGWYT9n+TomKoEgCyH/tkiniN5D46+dYjYaIrilptYmMFDNBSDEjkZwYGhvfY0v1nb2vIn+16O3ZdDL5x8bD/L+XN56Qcw1UwbdIbsBESKa/06lIJKETLyUeTp7Q8d/FJ746haxUi7TY9EOKmSCkmJFIThyNje+xc9cvcDqj1YPyfUEPRpr2QLFyzzFu+OOqAZ3zRBRv87sBD+5oZt27tfEPiMD871QOeUETiWT6VJ1IoaMqhHRwlxYbH1LMBCHFjERyYtE0F59+di5ud3OUEQPXs2kw8GqCyb94j44eb8LHxnMnnIiYiVgtKOKRlmXhpl/OPuVcToNJIkLHn7E22NlWMs7GhxQzQUgxI5GcWE6HYOC3Nx7mrgRdTafSAyhic1CdXH33FIaPzRrgFQ1NormtTkS2lYyz0f/8VqPukUgkkiRxOhsHdNzJ4IrJw7mkIra7JdUcalUqzLAGejcZVIWqshyumjycqrKcE/5LumxKPvO/U0lqZuIFRGO1sDjTiHQf51cW8eSNUynMCK1LlGnz1UwbqDst8BVbDBYy0Fe4b0l13QCdaegzaL2ZJBLJmYvFoi/mQu+4k8Ufvz6dX75Tw58+3UewDVtV4LbzS/nR/PGntPm/bEo+pZPyAun0jjYXn/1td9zjYrWwkPjw9/PSE2w80K6pSH3CznSkm0kikQw48dO0T+2Ymf64PBp/Xrmf2mYHJdk2bqoahdk49AzbemJpzsSYmYHmRLqmXrptVqBP2OnISe+aLZFIzlwUxcCY8vt707QjVU+BMeU/HxJCBsBsVLnl/Mh954YS8VpTAJx3XbkUMseJ3zUVjN811d9q0z+LKVH09hM73ZGWGYlEMmhEStO2WIoYU/7zUzYt+0wgXmsKyeDR32rT0uXizr8mb7GRlhkfUsxIJJJBRQgvra1rcTobsVjyycycPmQsMqczsVpTSE4syaSAK/gCzj/98cWndcyMdDNJJJJTAkUxnLLp12cyqqrI9OtThFjBxHe8uD6KoxYeWFhxWguZRJCWGYlEIpFITlGiVSiWdWZCkZYZiUQikUhOUaJZbaRFJhQpZiQSiUQiOYWJlB0lCWXoFUqQSCQSiUQiCUKKGYlEIpFIJEMaKWYkEolE6mSCugAACOtJREFUIpEMaaSYkUgkEolEMqSRYkYikUgkEsmQRooZiUQikUgkQxopZiQSiUQikQxppJiRSCQSiUQypJFiRiKRSCQSyZDmjKgA7G8/1d7efpJXIpFIJBKJRC/+53a8NpJnhJjp6OgAoLi4+CSvRCKRSCQSSaJ0dHSQkZERdf8Z0TVb0zSOHDlCeno6iiKbc0Wjvb2d4uJiDh48KLuLn8LI+3TqI+/R0EDep1MfIQQdHR0MGzYMVY0eGXNGWGZUVWXEiBEnexlDBrvdLj/YQwB5n0595D0aGsj7dGoTyyLjRwYASyQSiUQiGdJIMSORSCQSiWRII8WMJIDFYuGBBx7AYrGc7KVIYiDv06mPvEdDA3mfTh/OiABgiUQikUgkpy/SMiORSCQSiWRII8WMRCKRSCSSIY0UMxKJRCKRSIY0UsxIJBKJRCIZ0kgxcwbwy1/+ktmzZ2Oz2cjMzIw45sCBAyxYsACbzUZ+fj733HMPHo8nZMzy5cuZOnUqFouFs846i+effz5snieeeIJRo0ZhtVqZOXMma9asGYR3dOYir++J4+OPP2bhwoUMGzYMRVF48803Q/YLIbj//vspKioiJSWFuXPnsmvXrpAxzc3NfO1rX8Nut5OZmcktt9xCZ2dnyJjNmzdz/vnnY7VaKS4u5te//vVgv7XTiocffpjp06eTnp5Ofn4+V199NTt27AgZ09PTw5133klOTg5paWlce+21NDQ0hIwZqO9AyUlCSE577r//fvHYY4+JRYsWiYyMjLD9Ho9HVFZWirlz54oNGzaId999V+Tm5or77rsvMGbv3r3CZrOJRYsWiZqaGvH73/9eGAwGsWTJksCYl19+WZjNZvHss8+KrVu3ittuu01kZmaKhoaGE/E2T3vk9T2xvPvuu+KnP/2peP311wUg3njjjZD9jzzyiMjIyBBvvvmm2LRpk7jyyitFaWmp6O7uDoyZP3++mDRpkli1apX45JNPxFlnnSVuuOGGwP62tjZRUFAgvva1r4nq6mrx0ksviZSUFPH000+fqLc55Jk3b5547rnnRHV1tdi4caO4/PLLxciRI0VnZ2dgzO233y6Ki4vFsmXLxOeffy5mzZolZs+eHdg/UN+BkpOHFDNnEM8991xEMfPuu+8KVVVFfX19YNuTTz4p7Ha7cDqdQgghfvSjH4kJEyaEHHf99deLefPmBV7PmDFD3HnnnYHXXq9XDBs2TDz88MMD/E7OTOT1PXn0FzOaponCwkLxm9/8JrCttbVVWCwW8dJLLwkhhKipqRGAWLt2bWDMP//5T6Eoijh8+LAQQog//OEPIisrK/A5E0KIH//4x2Ls2LGD/I5OXxobGwUgPvroIyGE776YTCbx2muvBcZs27ZNAGLlypVCiIH7DpScPKSbScLKlSs5++yzKSgoCGybN28e7e3tbN26NTBm7ty5IcfNmzePlStXAuByuVi3bl3IGFVVmTt3bmCMJHnk9T212LdvH/X19SH3IyMjg5kzZwbux8qVK8nMzGTatGmBMXPnzkVVVVavXh0YM2fOHMxmc2DMvHnz2LFjBy0tLSfo3ZxetLW1AZCdnQ3AunXrcLvdIfdq3LhxjBw5MuReHe93oOTkIsWMhPr6+pAPMRB4XV9fH3NMe3s73d3dHD16FK/XG3GMfw5J8sjre2rhv+ax7kd9fT35+fkh+41GI9nZ2XE/V8HnkOhH0zS+//3vc+6551JZWQn4rqPZbA6LF+x/r473O1BycpFiZohy7733oihKzD/bt28/2cuUSCSSE8add95JdXU1L7/88sleiuQEYzzZC5Akxw9+8AO+8Y1vxBwzevRoXXMVFhaGZcX4I/0LCwsDf/eP/m9oaMBut5OSkoLBYMBgMEQc459Dkjy5ubny+p5C+K95Q0MDRUVFge0NDQ1Mnjw5MKaxsTHkOI/HQ3Nzc9zPVfA5JPq46667ePvtt/n4448ZMWJEYHthYSEul4vW1tYQ60zwZ2cgvgMlJxdpmRmi5OXlMW7cuJh/gv3wsaiqqmLLli0hX7xLly7FbrdTUVERGLNs2bKQ45YuXUpVVRUAZrOZc845J2SMpmksW7YsMEaSPPL6nlqUlpZSWFgYcj/a29tZvXp14H5UVVXR2trKunXrAmM++OADNE1j5syZgTEff/wxbrc7MGbp0qWMHTuWrKysE/RuhjZCCO666y7eeOMNPvjgA0pLS0P2n3POOZhMppB7tWPHDg4cOBByr473O1BykjnZEciSwae2tlZs2LBBPPjggyItLU1s2LBBbNiwQXR0dAgh+tISL730UrFx40axZMkSkZeXFzEt8Z577hHbtm0TTzzxRMTUbIvFIp5//nlRU1Mjvv3tb4vMzMyQDAFJ8sjre2Lp6OgIfFYA8dhjj4kNGzaI2tpaIYQvNTszM1P84x//EJs3bxZXXXVVxNTsKVOmiNWrV4tPP/1UlJeXh6Rmt7a2ioKCAnHTTTeJ6upq8fLLLwubzSZTsxPgjjvuEBkZGWL58uWirq4u8MfhcATG3H777WLkyJHigw8+EJ9//rmoqqoSVVVVgf0D9R0oOXlIMXMGcPPNNwsg7M+HH34YGLN//35x2WWXiZSUFJGbmyt+8IMfCLfbHTLPhx9+KCZPnizMZrMYPXq0eO6558LO9fvf/16MHDlSmM1mMWPGDLFq1apBfndnFvL6njg+/PDDiJ+bm2++WQjhS8/++c9/LgoKCoTFYhFf+MIXxI4dO0LmOHbsmLjhhhtEWlqasNvt4pvf/GbgR4SfTZs2ifPOO09YLBYxfPhw8cgjj5yot3haEOkeASHfT93d3eK73/2uyMrKEjabTXzxi18UdXV1IfMM1Heg5OSgCCHECTcHSSQSiUQikQwQMmZGIpFIJBLJkEaKGYlEIpFIJEMaKWYkEolEIpEMaaSYkUgkEolEMqSRYkYikUgkEsmQRooZiUQikUgkQxopZiQSiUQikQxppJiRSCQSiUQypJFiRiKRSCQSyZBGihmJRCKRSCRDGilmJBKJRCKRDGmkmJFIJBKJRDKk+f+eEmemy3uBggAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "for pose_index in range(poses_over_time.shape[1]):\n",
    "    ax.scatter(poses_over_time[:, pose_index, 0], poses_over_time[:, pose_index, 1])\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "modelling-space-PK-9Kbkb-py3.9",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.15 (main, Oct 11 2022, 22:27:25) \n[Clang 14.0.0 (clang-1400.0.29.102)]"
  },
  "orig_nbformat": 4,
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